Subjects -> MATHEMATICS (Total: 1118 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (819 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (819 journals)                  1 2 3 4 5 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Accounting Perspectives     Full-text available via subscription   (Followers: 9)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 17)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 9)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 44)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 13)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 8)
Advances in Complex Systems     Hybrid Journal   (Followers: 12)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 5)
Advances in Fixed Point Theory     Open Access   (Followers: 9)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 22)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 10)
Advances in Materials Science     Open Access   (Followers: 22)
Advances in Mathematical Physics     Open Access   (Followers: 10)
Advances in Mathematics     Full-text available via subscription   (Followers: 22)
Advances in Numerical Analysis     Open Access   (Followers: 8)
Advances in Operations Research     Open Access   (Followers: 14)
Advances in Operator Theory     Hybrid Journal   (Followers: 4)
Advances in Porous Media     Full-text available via subscription   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 11)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 12)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 7)
Afrika Matematika     Hybrid Journal   (Followers: 3)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 4)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 1)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 6)
Algebra and Logic     Hybrid Journal   (Followers: 8)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 14)
Algorithms Research     Open Access   (Followers: 2)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 10)
American Journal of Mathematical Analysis     Open Access   (Followers: 2)
American Journal of Mathematical and Management Sciences     Hybrid Journal   (Followers: 1)
American Journal of Mathematics     Full-text available via subscription   (Followers: 9)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 7)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 13)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 10)
Analysis Mathematica     Full-text available via subscription  
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access   (Followers: 8)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 17)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 8)
Annals of Functional Analysis     Hybrid Journal   (Followers: 4)
Annals of Mathematics     Full-text available via subscription   (Followers: 4)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 16)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 6)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 2)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 10)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 13)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 2)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 2)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 6)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 4)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 24)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 4)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 7)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 3)
British Journal for the History of Mathematics     Hybrid Journal  
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 15)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 3)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access   (Followers: 2)
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 23)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 6)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 3)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access   (Followers: 1)
CODEE Journal     Open Access   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 18)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 5)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 11)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 3)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 9)
Computational Mechanics     Hybrid Journal   (Followers: 10)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 11)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access   (Followers: 1)
Contributions to Discrete Mathematics     Open Access   (Followers: 1)
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access   (Followers: 1)
Demographic Research     Open Access   (Followers: 16)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access   (Followers: 3)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 4)

        1 2 3 4 5 | Last

Similar Journals
Journal Cover
Bulletin of the Australian Mathematical Society
Journal Prestige (SJR): 0.44
Number of Followers: 2  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0004-9727 - ISSN (Online) 1755-1633
Published by Cambridge University Press Homepage  [400 journals]
  • BAZ volume 104 issue 2 Cover and Front matter

    • Free pre-print version: Loading...

      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720000866
      Issue No: Vol. 104, No. 2 (2021)
       
  • BAZ volume 104 issue 2 Cover and Back matter

    • Free pre-print version: Loading...

      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720000878
      Issue No: Vol. 104, No. 2 (2021)
       
  • BIASES IN INTEGER PARTITIONS

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      Authors: BYUNGCHAN KIM; EUNMI KIM
      Pages: 177 - 186
      Abstract: We show that there are biases in the number of appearances of the parts in two residue classes in the set of ordinary partitions. More precisely, let $p_{j,k,m} (n)$ be the number of partitions of n such that there are more parts congruent to j modulo m than parts congruent to k modulo m for $m \geq 2$. We prove that $p_{1,0,m} (n)$ is in general larger than $p_{0,1,m} (n)$. We also obtain asymptotic formulas for $p_{1,0,m}(n)$ and $p_{0,1,m}(n)$ for $m \geq 2$.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001495
      Issue No: Vol. 104, No. 2 (2021)
       
  • ASKING QUESTIONS TO DETERMINE THE PRODUCT OF CIRCULARLY ARRANGED NUMBERS

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      Authors: SHARAD S. SANE
      Pages: 187 - 195
      Abstract: Fix positive integers k and n with $k \leq n$. Numbers $x_0, x_1, x_2, \ldots , x_{n - 1}$, each equal to $\pm {1}$, are cyclically arranged (so that $x_0$ follows $x_{n - 1}$) in that order. The problem is to find the product $P = x_0x_1 \cdots x_{n - 1}$ of all n numbers by asking the smallest number of questions of the type $Q_i$: what is $x_ix_{i + 1}x_{i + 2} \cdots x_{i+ k -1}$? (where all the subscripts are read modulo n). This paper studies the problem and some of its generalisations.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972721000216
      Issue No: Vol. 104, No. 2 (2021)
       
  • THE DIAMETER AND RADIUS OF RADIALLY MAXIMAL GRAPHS

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      Authors: PU QIAO; XINGZHI ZHAN
      Pages: 196 - 202
      Abstract: A graph is called radially maximal if it is not complete and the addition of any new edge decreases its radius. Harary and Thomassen [‘Anticritical graphs’, Math. Proc. Cambridge Philos. Soc. 79(1) (1976), 11–18] proved that the radius r and diameter d of any radially maximal graph satisfy $r\le d\le 2r-2.$ Dutton et al. [‘Changing and unchanging of the radius of a graph’, Linear Algebra Appl. 217 (1995), 67–82] rediscovered this result with a different proof and conjectured that the converse is true, that is, if r and d are positive integers satisfying $r\le d\le 2r-2,$ then there exists a radially maximal graph with radius r and diameter $d.$ We prove this conjecture and a little more.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001471
      Issue No: Vol. 104, No. 2 (2021)
       
  • $\boldsymbol{\mathcal{CF}}$ -CONNECTED+GRAPHS+FOR+ $\boldsymbol{K}_{\boldsymbol{m,n}}$ &rft.title=Bulletin+of+the+Australian+Mathematical+Society&rft.issn=0004-9727&rft.date=2021&rft.volume=104&rft.spage=203&rft.epage=210&rft.aulast=STAŠ&rft.aufirst=MICHAL&rft.au=MICHAL+STAŠ&rft.au=JURAJ+VALISKA&rft_id=info:doi/10.1017/S000497272000129X">ON PROBLEMS OF $\boldsymbol{\mathcal{CF}}$ -CONNECTED GRAPHS FOR
           $\boldsymbol{K}_{\boldsymbol{m,n}}$

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      Authors: MICHAL STAŠ; JURAJ VALISKA
      Pages: 203 - 210
      Abstract: A connected graph G is $\mathcal {CF}$-connected if there is a path between every pair of vertices with no crossing on its edges for each optimal drawing of G. We conjecture that a complete bipartite graph $K_{m,n}$ is $\mathcal {CF}$-connected if and only if it does not contain a subgraph of $K_{3,6}$ or $K_{4,4}$. We establish the validity of this conjecture for all complete bipartite graphs $K_{m,n}$ for any $m,n$ with $\min \{m,n\}\leq 6$, and conditionally for $m,n\geq 7$ on the assumption of Zarankiewicz’s conjecture that $\mathrm {cr}(K_{m,n})=\big \lfloor \frac {m}{2} \big \rfloor \big \lfloor \frac {m-1}{2} \big \rfloor \big \lfloor \frac {n}{2} \big \rfloor \big \lfloor \frac {n-1}{2} \big \rfloor $.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S000497272000129X
      Issue No: Vol. 104, No. 2 (2021)
       
  • ON ASYMPTOTIC BASES WHICH HAVE DISTINCT SUBSET SUMS

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      Authors: SÁNDOR Z. KISS; VINH HUNG NGUYEN
      Pages: 211 - 217
      Abstract: Let k and l be positive integers satisfying $k \ge 2, l \ge 1$. A set $\mathcal {A}$ of positive integers is an asymptotic basis of order k if every large enough positive integer can be represented as the sum of k terms from $\mathcal {A}$. About 35 years ago, P. Erdős asked: does there exist an asymptotic basis of order k where all the subset sums with at most l terms are pairwise distinct with the exception of a finite number of cases as long as $l \le k - 1$? We use probabilistic tools to prove the existence of an asymptotic basis of order $2k+1$ for which all the sums of at most k elements are pairwise distinct except for ‘small’ numbers.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972721000174
      Issue No: Vol. 104, No. 2 (2021)
       
  • SUMS OF FOUR SQUARES WITH A CERTAIN RESTRICTION

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      Authors: YUE-FENG SHE; HAI-LIANG WU
      Pages: 218 - 227
      Abstract: Z.-W. Sun [‘Refining Lagrange’s four-square theorem’, J. Number Theory 175 (2017), 169–190] conjectured that every positive integer n can be written as $ x^2+y^2+z^2+w^2\ (x,y,z,w\in \mathbb {N}=\{0,1,\ldots \})$ with $x+3y$ a square and also as $n=x^2+y^2+z^2+w^2\ (x,y,z,w \in \mathbb {Z})$ with $x+3y\in \{4^k:k\in \mathbb {N}\}$. In this paper, we confirm these conjectures via the arithmetic theory of ternary quadratic forms.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001501
      Issue No: Vol. 104, No. 2 (2021)
       
  • n+INTO+DISTINCT+PARTS&rft.title=Bulletin+of+the+Australian+Mathematical+Society&rft.issn=0004-9727&rft.date=2021&rft.volume=104&rft.spage=228&rft.epage=237&rft.aulast=MERCA&rft.aufirst=MIRCEA&rft.au=MIRCEA+MERCA&rft_id=info:doi/10.1017/S0004972720001422">ON THE SUM OF PARTS IN THE PARTITIONS OF n
           INTO DISTINCT PARTS

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      Authors: MIRCEA MERCA
      Pages: 228 - 237
      Abstract: We investigate the sum of the parts in all the partitions of n into distinct parts and give two infinite families of linear inequalities involving this sum. The results can be seen as new connections between partitions and divisors.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001422
      Issue No: Vol. 104, No. 2 (2021)
       
  • $\textbf{2}$ +AND+ $\textbf{3}$ &rft.title=Bulletin+of+the+Australian+Mathematical+Society&rft.issn=0004-9727&rft.date=2021&rft.volume=104&rft.spage=238&rft.epage=248&rft.aulast=SINGH&rft.aufirst=AJIT&rft.au=AJIT+SINGH&rft.au=RUPAM+BARMAN&rft_id=info:doi/10.1017/S0004972720001513">DIVISIBILITY OF CERTAIN SINGULAR OVERPARTITIONS BY POWERS OF $\textbf{2}$
           AND $\textbf{3}$

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      Authors: AJIT SINGH; RUPAM BARMAN
      Pages: 238 - 248
      Abstract: Andrews introduced the partition function $\overline {C}_{k, i}(n)$, called the singular overpartition function, which counts the number of overpartitions of n in which no part is divisible by k and only parts $\equiv \pm i\pmod {k}$ may be overlined. We prove that $\overline {C}_{6, 2}(n)$ is almost always divisible by $2^k$ for any positive integer k. We also prove that $\overline {C}_{6, 2}(n)$ and $\overline {C}_{12, 4}(n)$ are almost always divisible by $3^k$. Using a result of Ono and Taguchi on nilpotency of Hecke operators, we find infinite families of congruences modulo arbitrary powers of $2$ satisfied by $\overline {C}_{6, 2}(n)$.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001513
      Issue No: Vol. 104, No. 2 (2021)
       
  • STRICTLY REAL FUNDAMENTAL THEOREM OF ALGEBRA USING POLYNOMIAL INTERLACING

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      Authors: SOHAM BASU
      Pages: 249 - 255
      Abstract: Without resorting to complex numbers or any advanced topological arguments, we show that any real polynomial of degree greater than two always has a real quadratic polynomial factor, which is equivalent to the fundamental theorem of algebra. The proof uses interlacing of bivariate polynomials similar to Gauss’s first proof of the fundamental theorem of algebra using complex numbers, but in a different context of division residues of strictly real polynomials. This shows the sufficiency of basic real analysis as the minimal platform to prove the fundamental theorem of algebra.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001434
      Issue No: Vol. 104, No. 2 (2021)
       
  • FIXED POINTS OF POLYNOMIALS OVER DIVISION RINGS

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      Authors: ADAM CHAPMAN; SOLOMON VISHKAUTSAN
      Pages: 256 - 262
      Abstract: We study the discrete dynamics of standard (or left) polynomials $f(x)$ over division rings D. We define their fixed points to be the points $\lambda \in D$ for which $f^{\circ n}(\lambda )=\lambda $ for any $n \in \mathbb {N}$, where $f^{\circ n}(x)$ is defined recursively by $f^{\circ n}(x)=f(f^{\circ (n-1)}(x))$ and $f^{\circ 1}(x)=f(x)$. Periodic points are similarly defined. We prove that $\lambda $ is a fixed point of $f(x)$ if and only if $f(\lambda )=\lambda $, which enables the use of known results from the theory of polynomial equations, to conclude that any polynomial of degree $m \geq 2$ has at most m conjugacy classes of fixed points. We also show that in general, periodic points do not behave as in the commutative case. We provide a sufficient condition for periodic points to behave as expected.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972721000113
      Issue No: Vol. 104, No. 2 (2021)
       
  • $\textbf{2}$ -TRANSITIVE+NONNORMAL+CAYLEY+GRAPHS+OF+FINITE+SIMPLE+GROUPS&rft.title=Bulletin+of+the+Australian+Mathematical+Society&rft.issn=0004-9727&rft.date=2021&rft.volume=104&rft.spage=263&rft.epage=271&rft.aulast=FANG&rft.aufirst=XIN&rft.au=XIN+GUI+FANG&rft.au=JIE+WANG,+SANMING+ZHOU&rft_id=info:doi/10.1017/S0004972720001446">CLASSIFICATION OF TETRAVALENT $\textbf{2}$ -TRANSITIVE NONNORMAL CAYLEY
           GRAPHS OF FINITE SIMPLE GROUPS

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      Authors: XIN GUI FANG; JIE WANG, SANMING ZHOU
      Pages: 263 - 271
      Abstract: A graph $\Gamma $ is called $(G, s)$-arc-transitive if $G \le \text{Aut} (\Gamma )$ is transitive on the set of vertices of $\Gamma $ and the set of s-arcs of $\Gamma $, where for an integer $s \ge 1$ an s-arc of $\Gamma $ is a sequence of $s+1$ vertices $(v_0,v_1,\ldots ,v_s)$ of $\Gamma $ such that $v_{i-1}$ and $v_i$ are adjacent for
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001446
      Issue No: Vol. 104, No. 2 (2021)
       
  • ON ANALOGUES OF HUPPERT’S CONJECTURE

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      Authors: YONG YANG
      Pages: 272 - 277
      Abstract: Let G be a finite group and $\chi $ be a character of G. The codegree of $\chi $ is ${{\operatorname{codeg}}} (\chi ) ={|G: \ker \chi |}/{\chi (1)}$. We write $\pi (G)$ for the set of prime divisors of $|G|$, $\pi ({{\operatorname{codeg}}} (\chi ))$ for the set of prime divisors of ${{\operatorname{codeg}}} (\chi )$ and $\sigma ({{\operatorname{codeg}}} (G))= \max \{|\pi ({{\operatorname{codeg}}} (\chi ))| : \chi \in {\textrm {Irr}}(G)\}$. We show that $|\pi (G)| \leq ({23}/{3}) \sigma ({{\operatorname{codeg}}} (G))$. This improves the main result of Yang and Qian [‘The analog of Huppert’s conjecture on character codegrees’, J. Algebra 478 (2017), 215–219].
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001409
      Issue No: Vol. 104, No. 2 (2021)
       
  • AN ANALOGUE OF HUPPERT’S CONJECTURE FOR CHARACTER CODEGREES

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      Authors: A. BAHRI; Z. AKHLAGHI, B. KHOSRAVI
      Pages: 278 - 286
      Abstract: Let G be a finite group, let ${\mathrm{Irr}}(G)$ be the set of all irreducible complex characters of G and let $\chi \in {\mathrm{Irr}}(G)$. Define the codegrees, ${\mathrm{cod}}(\chi ) = |G: {\mathrm{ker}}\chi |/\chi (1)$ and ${\mathrm{cod}}(G) = \{{\mathrm{cod}}(\chi ) \mid \chi \in {\mathrm{Irr}}(G)\} $. We show that the simple group ${\mathrm{PSL}}(2,q)$, for a prime power $q>3$, is uniquely determined by the set of its codegrees.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972721000046
      Issue No: Vol. 104, No. 2 (2021)
       
  • ON THE PRONORM OF A GROUP

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      Authors: MATTIA BRESCIA; ALESSIO RUSSO
      Pages: 287 - 294
      Abstract: The pronorm of a group G is the set $P(G)$ of all elements $g\in G$ such that X and $X^g$ are conjugate in ${\langle {X,X^g}\rangle }$ for every subgroup X of G. In general the pronorm is not a subgroup, but we give evidence of some classes of groups in which this property holds. We also investigate the structure of a generalised soluble group G whose pronorm contains a subgroup of finite index.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001549
      Issue No: Vol. 104, No. 2 (2021)
       
  • Z-GROUP&rft.title=Bulletin+of+the+Australian+Mathematical+Society&rft.issn=0004-9727&rft.date=2021&rft.volume=104&rft.spage=295&rft.epage=301&rft.aulast=COSTANZO&rft.aufirst=DAVID&rft.au=DAVID+G.+COSTANZO&rft.au=MARK+L.+LEWIS,+STEFANO+SCHMIDT,+EYOB+TSEGAYE,+GABE+UDELL&rft_id=info:doi/10.1017/S0004972720001318">THE CYCLIC GRAPH OF A Z-GROUP

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      Authors: DAVID G. COSTANZO; MARK L. LEWIS, STEFANO SCHMIDT, EYOB TSEGAYE, GABE UDELL
      Pages: 295 - 301
      Abstract: For a group G, we define a graph $\Delta (G)$ by letting $G^{\scriptsize\#}=G\setminus {\{\,1\,\}} $ be the set of vertices and by drawing an edge between distinct elements $x,y\in G^{\scriptsize\#}$ if and only if the subgroup $\langle x,y\rangle $ is cyclic. Recall that a Z-group is a group where every Sylow subgroup is cyclic. In this short note, we investigate $\Delta (G)$ for a Z-group G.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001318
      Issue No: Vol. 104, No. 2 (2021)
       
  • A BIJECTION OF INVARIANT MEANS ON AN AMENABLE GROUP WITH THOSE ON A
           LATTICE SUBGROUP

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      Authors: JOHN HOPFENSPERGER
      Pages: 302 - 307
      Abstract: Suppose G is an amenable locally compact group with lattice subgroup $\Gamma $. Grosvenor [‘A relation between invariant means on Lie groups and invariant means on their discrete subgroups’, Trans. Amer. Math. Soc. 288(2) (1985), 813–825] showed that there is a natural affine injection $\iota : {\text {LIM}}(\Gamma )\to {\text {TLIM}}(G)$ and that $\iota $ is a surjection essentially in the case $G={\mathbb R}^d$, $\Gamma ={\mathbb Z}^d$. In the present paper it is shown that $\iota $ is a surjection if and only if $G/\Gamma $ is compact.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001525
      Issue No: Vol. 104, No. 2 (2021)
       
  • p-BANACH+BEURLING+ALGEBRAS&rft.title=Bulletin+of+the+Australian+Mathematical+Society&rft.issn=0004-9727&rft.date=2021&rft.volume=104&rft.spage=308&rft.epage=319&rft.aulast=DABHI&rft.aufirst=PRAKASH&rft.au=PRAKASH+A.+DABHI&rft.au=DARSHANA+B.+LIKHADA&rft_id=info:doi/10.1017/S0004972720001392">ON ALGEBRA ISOMORPHISMS BETWEEN p-BANACH
           BEURLING ALGEBRAS

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      Authors: PRAKASH A. DABHI; DARSHANA B. LIKHADA
      Pages: 308 - 319
      Abstract: Let $(G_1,\omega _1)$ and $(G_2,\omega _2)$ be weighted discrete groups and $0
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001392
      Issue No: Vol. 104, No. 2 (2021)
       
  • ON A FABRIC OF KISSING CIRCLES

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      Authors: VIERA ČERŇANOVÁ
      Pages: 320 - 329
      Abstract: Applying circle inversion on a square grid filled with circles, we obtain a configuration that we call a fabric of kissing circles. We focus on the curvature inside the individual components of the fabric, which are two orthogonal frames and two orthogonal families of chains. We show that the curvatures of the frame circles form a doubly infinite arithmetic sequence (bi-sequence), whereas the curvatures in each chain are arranged in a quadratic bi-sequence. We also prove a sufficient condition for the fabric to be integral.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972720001367
      Issue No: Vol. 104, No. 2 (2021)
       
  • EXACT LOWER BOUND ON AN ‘EXACTLY ONE’ PROBABILITY

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      Authors: IOSIF PINELIS
      Pages: 330 - 336
      Abstract: We obtain the exact lower bound on the probability of the occurrence of exactly one of n random events each of probability p.
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972721000071
      Issue No: Vol. 104, No. 2 (2021)
       
  • NONNEGATIVE POLYNOMIALS, SUMS OF SQUARES AND THE MOMENT PROBLEM

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      Authors: ABHISHEK BHARDWAJ
      Pages: 337 - 341
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972721000058
      Issue No: Vol. 104, No. 2 (2021)
       
  • BEYOND SLOW-FAST: RELAXATION OSCILLATIONS IN SINGULARLY PERTURBED
           NONSMOOTH SYSTEMS

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      Authors: SAMUEL JELBART
      Pages: 342 - 343
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972721000459
      Issue No: Vol. 104, No. 2 (2021)
       
  • THE RESOLVENT AND RIESZ TRANSFORM ON CONNECTED SUMS OF MANIFOLDS WITH
           DIFFERENT ASYMPTOTIC DIMENSIONS

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      Authors: DANIEL NIX
      Pages: 344 - 345
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972721000496
      Issue No: Vol. 104, No. 2 (2021)
       
  • INVESTIGATING ATTRIBUTE RISKS AND CONSTRUCTING LINKAGE ERROR MODELS FOR
           PROBABILISTICALLY-LINKED DATA

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      Authors: Y. MA
      Pages: 346 - 348
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972721000289
      Issue No: Vol. 104, No. 2 (2021)
       
  • MODELLING OF WITHDRAWAL OF A STRATIFIED FLUID FROM A POROUS MEDIUM

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      Authors: SUHA IBRAHIM SALIH AL-ALI
      Pages: 349 - 350
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972721000150
      Issue No: Vol. 104, No. 2 (2021)
       
  • APPLICATIONS OF SANDPILE ALGORITHMS TO MODELLING EDGE LOCALISED MODE
           PHENOMENOLOGY IN MAGNETICALLY CONFINED FUSION PLASMAS

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      Authors: CRAIG BOWIE
      Pages: 351 - 352
      PubDate: 2021-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972721000460
      Issue No: Vol. 104, No. 2 (2021)
       
 
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