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  Subjects -> MATHEMATICS (Total: 1022 journals)
    - APPLIED MATHEMATICS (83 journals)
    - GEOMETRY AND TOPOLOGY (21 journals)
    - MATHEMATICS (758 journals)
    - MATHEMATICS (GENERAL) (43 journals)
    - NUMERICAL ANALYSIS (22 journals)
    - PROBABILITIES AND MATH STATISTICS (95 journals)

MATHEMATICS (758 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 37)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
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: 12)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 9)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 21)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 6)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 17)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 10)
Advances in Materials Science     Open Access   (Followers: 17)
Advances in Mathematical Physics     Open Access   (Followers: 7)
Advances in Mathematics     Full-text available via subscription   (Followers: 14)
Advances in Nonlinear Analysis     Open Access  
Advances in Numerical Analysis     Open Access   (Followers: 7)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 8)
Advances in Pure Mathematics     Open Access   (Followers: 9)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 7)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 5)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 14)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 2)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 7)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 8)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 11)
Anadol University Journal of Science and Technology B : Theoritical Sciences     Open Access  
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 6)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 3)
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: 4)
Annals of Data Science     Hybrid Journal   (Followers: 13)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 7)
Annals of Mathematics     Full-text available via subscription   (Followers: 2)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 4)
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  
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 1)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 14)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics     Open Access   (Followers: 8)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 10)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 7)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
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: 25)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 3)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 5)
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: 1)
Basin Research     Hybrid Journal   (Followers: 5)
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: 2)
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: 13)
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: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
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  
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: 20)
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: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access  
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 15)
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: 3)
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: 9)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus Mathematique     Full-text available via subscription  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 10)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 8)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 10)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
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)
Demographic Research     Open Access   (Followers: 14)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 31)
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)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 2)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  

        1 2 3 4 | Last

Similar Journals
Journal Cover
Bulletin of the Australian Mathematical Society
Journal Prestige (SJR): 0.44
Number of Followers: 1  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0004-9727 - ISSN (Online) 1755-1633
Published by Cambridge University Press Homepage  [387 journals]
  • BAZ volume 100 Issue 2 Cover and Front matter
    • PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972718001557
      Issue No: Vol. 100, No. 2 (2019)
       
  • BAZ volume 100 Issue 2 Cover and Back matter
    • PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972718001569
      Issue No: Vol. 100, No. 2 (2019)
       
  • ALTERNATING COLOURINGS OF THE VERTICES OF A REGULAR POLYGON
    • Authors: SHIVANI SINGH; YULIYA ZELENYUK
      Pages: 177 - 181
      Abstract: Let $n,r,k\in \mathbb{N}$ . An $r$ -colouring of the vertices of a regular $n$ -gon is any mapping $\unicode[STIX]{x1D712}:\mathbb{Z}_{n}\rightarrow \{1,2,\ldots ,r\}$ . Two colourings are equivalent if one of them can be obtained from another by a rotation of the polygon. An $r$ -ary necklace of length $n$ is an equivalence class of $r$ -colourings of $\mathbb{Z}_{n}$ . We say that a colouring is $k$ -alternating if all $k$ consecutive vertices have pairwise distinct colours. We compute the smallest number $r$ for which there exists a
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000157
      Issue No: Vol. 100, No. 2 (2019)
       
  • ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$P_{5}$ ++++++++++++ ++++++++ ++++,+GEM)-FREE+GRAPHS&rft.title=Bulletin+of+the+Australian+Mathematical+Society&rft.issn=0004-9727&rft.date=2019&rft.volume=100&rft.spage=182&rft.epage=188&rft.aulast=CAMERON&rft.aufirst=KATHIE&rft.au=KATHIE+CAMERON&rft.au=SHENWEI+HUANG,+OWEN+MERKEL&rft_id=info:doi/10.1017/S0004972719000352">A BOUND FOR THE CHROMATIC NUMBER OF ( $P_{5}$ , GEM)-FREE GRAPHS
    • Authors: KATHIE CAMERON; SHENWEI HUANG, OWEN MERKEL
      Pages: 182 - 188
      Abstract: As usual, $P_{n}$ ( $n\geq 1$ ) denotes the path on $n$ vertices. The gem is the graph consisting of a $P_{4}$ together with an additional vertex adjacent to each vertex of the $P_{4}$ . A graph is called ( $P_{5}$ , gem)-free if it has no induced subgraph isomorphic to a $P_{5}$ or to a gem. For a graph $G$ , $\unicode[STIX]{x1D712}(G)$ denotes its chromatic number and $\unicode[STIX]{x1D714}(G)$ denotes the maximum size of a clique in $G$ . We show that
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000352
      Issue No: Vol. 100, No. 2 (2019)
       
  • A NOTE ON THE SUM OF RECIPROCALS
    • Authors: YUCHEN DING; YU-CHEN SUN
      Pages: 189 - 193
      Abstract: We prove that, given a positive integer $m$ , there is a sequence $\{n_{i}\}_{i=1}^{k}$ of positive integers such that $$\begin{eqnarray}m=\frac{1}{n_{1}}+\frac{1}{n_{2}}+\cdots +\frac{1}{n_{k}}\end{eqnarray}$$ with the property that partial sums of the series $\{1/n_{i}\}_{i=1}^{k}$ do not represent other integers.
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000558
      Issue No: Vol. 100, No. 2 (2019)
       
  • NOTE ON SUMS INVOLVING THE EULER FUNCTION
    • Authors: SHANE CHERN
      Pages: 194 - 200
      Abstract: In this note, we provide refined estimates of two sums involving the Euler totient function, $$\begin{eqnarray}\mathop{\sum }_{n\leq x}\unicode[STIX]{x1D719}\biggl(\biggl[\frac{x}{n}\biggr]\biggr)\quad \text{and}\quad \mathop{\sum }_{n\leq x}\frac{\unicode[STIX]{x1D719}([x/n])}{[x/n]},\end{eqnarray}$$ where $[x]$ denotes the integral part of real $x$ . The above summations were recently considered by Bordellès et al. [‘On a sum involving the Euler function’, Preprint, 2018, arXiv:1808.00188] and Wu [‘On a sum involving the Euler totient function’, Preprint, 2018, hal-01884018].
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000066
      Issue No: Vol. 100, No. 2 (2019)
       
  • PERIODS OF DUCCI SEQUENCES AND ODD SOLUTIONS TO A PELLIAN EQUATION
    • Authors: FLORIAN BREUER
      Pages: 201 - 205
      Abstract: A Ducci sequence is a sequence of integer $n$ -tuples generated by iterating the map $$\begin{eqnarray}D:(a_{1},a_{2},\ldots ,a_{n})\mapsto (|a_{1}-a_{2}|,|a_{2}-a_{3}|,\ldots ,|a_{n}-a_{1}|).\end{eqnarray}$$ Such a sequence is eventually periodic and we denote by $P(n)$ the maximal period of such sequences for given $n$ . We prove a new upper bound in the case where $n$ is a power of a prime $p\equiv 5\hspace{0.6em}({\rm mod}\hspace{0.2em}8)$ for which $2$ is a primitive root and the Pellian equation $x^{2}-py^{2}=-4$ has no solutions in odd integers $x$ and $y$ .
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000212
      Issue No: Vol. 100, No. 2 (2019)
       
  • ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$x^{2}+D$ ++++++++++++ ++++++++ ++++&rft.title=Bulletin+of+the+Australian+Mathematical+Society&rft.issn=0004-9727&rft.date=2019&rft.volume=100&rft.spage=206&rft.epage=215&rft.aulast=GHADERMARZI&rft.aufirst=AMIR&rft.au=AMIR+GHADERMARZI&rft_id=info:doi/10.1017/S0004972719000625">ON THE FACTORISATION OF $x^{2}+D$
    • Authors: AMIR GHADERMARZI
      Pages: 206 - 215
      Abstract: Let $D$ be a positive nonsquare integer, $p$ a prime number with $p\nmid D$ and $0C_{2}$ with $x^{2}+D=p^{n}m$ we have $m>x^{\unicode[STIX]{x1D70E}}$ . As an application, we show that for
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000625
      Issue No: Vol. 100, No. 2 (2019)
       
  • VANISHING COEFFICIENTS IN FOUR QUOTIENTS OF INFINITE PRODUCT EXPANSIONS
    • Authors: DAZHAO TANG
      Pages: 216 - 224
      Abstract: Motivated by Ramanujan’s continued fraction and the work of Richmond and Szekeres [‘The Taylor coefficients of certain infinite products’, Acta Sci. Math. (Szeged)40(3–4) (1978), 347–369], we investigate vanishing coefficients along arithmetic progressions in four quotients of infinite product expansions and obtain similar results. For example, $a_{1}(5n+4)=0$ , where $a_{1}(n)$ is defined by $$\begin{eqnarray}\displaystyle {\displaystyle \frac{(q,q^{4};q^{5})_{\infty }^{3}}{(q^{2},q^{3};q^{5})_{\infty }^{2}}}=\mathop{\sum }_{n=0}^{\infty }a_{1}(n)q^{n}. & & \displaystyle \nonumber\end{eqnarray}$$
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000327
      Issue No: Vol. 100, No. 2 (2019)
       
  • A LOWER BOUND FOR THE LARGE SIEVE WITH SQUARE MODULI
    • Authors: STEPHAN BAIER; SEAN B. LYNCH, LIANGYI ZHAO
      Pages: 225 - 229
      Abstract: We prove a lower bound for the large sieve with square moduli.
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000224
      Issue No: Vol. 100, No. 2 (2019)
       
  • ON THE DISTRIBUTION OF THE RANK STATISTIC FOR STRONGLY CONCAVE
           COMPOSITIONS
    • Authors: NIAN HONG ZHOU
      Pages: 230 - 238
      Abstract: A strongly concave composition of $n$ is an integer partition with strictly decreasing and then increasing parts. In this paper we give a uniform asymptotic formula for the rank statistic of a strongly concave composition introduced by Andrews et al. [‘Modularity of the concave composition generating function’, Algebra Number Theory7(9) (2013), 2103–2139].
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000169
      Issue No: Vol. 100, No. 2 (2019)
       
  • A BRIEF NOTE ON SOME INFINITE FAMILIES OF MONOGENIC POLYNOMIALS
    • Authors: LENNY JONES
      Pages: 239 - 244
      Abstract: Suppose that $f(x)=x^{n}+A(Bx+C)^{m}\in \mathbb{Z}[x]$ , with $n\geq 3$ and $1\leq m
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000182
      Issue No: Vol. 100, No. 2 (2019)
       
  • ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$p$ ++++++++++++ ++++++++ ++++-ADIC+LIE EXTENSION&rft.title=Bulletin+of+the+Australian+Mathematical+Society&rft.issn=0004-9727&rft.date=2019&rft.volume=100&rft.spage=245&rft.epage=255&rft.aulast=BHAVE&rft.aufirst=AMALA&rft.au=AMALA+BHAVE&rft.au=LACHIT+BORA&rft_id=info:doi/10.1017/S0004972719000108">ON THE SELMER GROUP OF A CERTAIN $p$ -ADIC LIE EXTENSION
    • Authors: AMALA BHAVE; LACHIT BORA
      Pages: 245 - 255
      Abstract: Let $E$ be an elliptic curve over $\mathbb{Q}$ without complex multiplication. Let $p\geq 5$ be a prime in $\mathbb{Q}$ and suppose that $E$ has good ordinary reduction at $p$ . We study the dual Selmer group of $E$ over the compositum of the $\text{GL}_{2}$ extension and the anticyclotomic $\mathbb{Z}_{p}$ -extension of an imaginary quadratic extension as an Iwasawa module.
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000108
      Issue No: Vol. 100, No. 2 (2019)
       
  • ON THE DIMENSION OF PERMUTATION VECTOR SPACES
    • Authors: LUCAS REIS
      Pages: 256 - 267
      Abstract: Let $K$ be a field that admits a cyclic Galois extension of degree $n\geq 2$ . The symmetric group $S_{n}$ acts on $K^{n}$ by permutation of coordinates. Given a subgroup $G$ of $S_{n}$ and $u\in K^{n}$ , let $V_{G}(u)$ be the $K$ -vector space spanned by the orbit of $u$ under the action of $G$ . In this paper we show that, for a special family of groups
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000340
      Issue No: Vol. 100, No. 2 (2019)
       
  • A NEW SUM–PRODUCT ESTIMATE IN PRIME FIELDS
    • Authors: CHANGHAO CHEN; BRYCE KERR, ALI MOHAMMADI
      Pages: 268 - 280
      Abstract: We obtain a new sum–product estimate in prime fields for sets of large cardinality. In particular, we show that if $A\subseteq \mathbb{F}_{p}$ satisfies $|A|\leq p^{64/117}$ then $\max \{|A\pm A|,|AA|\}\gtrsim |A|^{39/32}.$ Our argument builds on and improves some recent results of Shakan and Shkredov [‘Breaking the 6/5 threshold for sums and products modulo a prime’, Preprint, 2018, arXiv:1806.07091v1] which use the eigenvalue method to reduce to estimating a fourth moment energy and the additive energy $E^{+}(P)$ of some subset $P\subseteq A+A$ . Our main novelty comes from reducing the estimation of $E^{+}(P)$ to a point–plane incidence bound of Rudnev [‘On the number of incidences between points and planes in three dimensions’, Combinatorica 38(1) (2017), 219–254] rather than a point–line incidence bound used by Shakan and Shkredov.
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000303
      Issue No: Vol. 100, No. 2 (2019)
       
  • A NILPOTENCY CRITERION FOR SOME VERBAL SUBGROUPS
    • Authors: CARMINE MONETTA; ANTONIO TORTORA
      Pages: 281 - 289
      Abstract: The word $w=[x_{i_{1}},x_{i_{2}},\ldots ,x_{i_{k}}]$ is a simple commutator word if $k\geq 2,i_{1}\neq i_{2}$ and $i_{j}\in \{1,\ldots ,m\}$ for some $m>1$ . For a finite group $G$ , we prove that if $i_{1}\neq i_{j}$ for every $j\neq 1$ , then the verbal subgroup corresponding to $w$ is nilpotent if and only if $|ab|=|a||b|$ for any $w$ -values $a,b\in G$ of coprime orders. We also extend the result to a residually finite group
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000054
      Issue No: Vol. 100, No. 2 (2019)
       
  • A NOTE ON THE PERIODICITY OF ENTIRE FUNCTIONS
    • Authors: KAI LIU; PEIYONG YU
      Pages: 290 - 296
      Abstract: We give some sufficient conditions for the periodicity of entire functions based on a conjecture of C. C. Yang, using the concepts of value sharing, unique polynomial of entire functions and Picard exceptional value.
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000030
      Issue No: Vol. 100, No. 2 (2019)
       
  • EXTENDABLE TEMPERATURES
    • Authors: NEIL A. WATSON
      Pages: 297 - 303
      Abstract: Let $E$ and $D$ be open subsets of $\mathbb{R}^{n+1}$ such that $\overline{D}$ is a compact subset of $E$ , and let $v$ be a supertemperature on $E$ . We call a temperature $u$ on $D$ extendable by $v$ if there is a supertemperature $w$ on
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000248
      Issue No: Vol. 100, No. 2 (2019)
       
  • A SYSTEM OF FUNCTIONAL EQUATIONS SATISFIED BY COMPONENTS OF A QUADRATIC
           FUNCTION AND ITS STABILITY
    • Authors: KANET PONPETCH; VICHIAN LAOHAKOSOL, SUKRAWAN MAVECHA
      Pages: 304 - 316
      Abstract: A system of functional equations satisfied by the components of a quadratic function is derived via their corresponding circulant matrix. Given such a system of functional equations, general solutions are determined and a stability result for such a system is established.
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S000497271900025X
      Issue No: Vol. 100, No. 2 (2019)
       
  • A GENERALISATION OF THE FROBENIUS RECIPROCITY THEOREM
    • Authors: H. KUMUDINI DHARMADASA; WILLIAM MORAN
      Pages: 317 - 322
      Abstract: Let $G$ be a locally compact group and $K$ a closed subgroup of $G$ . Let $\unicode[STIX]{x1D6FE},$ $\unicode[STIX]{x1D70B}$ be representations of $K$ and $G$ respectively. Moore’s version of the Frobenius reciprocity theorem was established under the strong conditions that the underlying homogeneous space $G/K$ possesses a right-invariant measure and the representation space $H(\unicode[STIX]{x1D6FE})$ of the representation $\unicode[STIX]{x1D6FE}$ of $K$ is a Hilbert space. Here, the theorem is proved in a more general setting assuming only the existence of...
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000042
      Issue No: Vol. 100, No. 2 (2019)
       
  • A NOTE ON RADIAL SYMMETRY FOR AN INTEGRAL EQUATION OF WOLFF TYPE
    • Authors: YUN WANG; LIXIN TIAN
      Pages: 323 - 327
      Abstract: We prove that positive solutions of an integral equation of Wolff type are radially symmetric and decreasing about some point in $R^{n}$ . The hypotheses allow a wider range of exponents and are easier to apply than those in previous work.
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000121
      Issue No: Vol. 100, No. 2 (2019)
       
  • APPROXIMATIONS OF SUBHOMOGENEOUS ALGEBRAS
    • Authors: TATIANA SHULMAN; OTGONBAYAR UUYE
      Pages: 328 - 337
      Abstract: Let $n$ be a positive integer. A $C^{\ast }$ -algebra is said to be $n$ -subhomogeneous if all its irreducible representations have dimension at most $n$ . We give various approximation properties characterising $n$ -subhomogeneous $C^{\ast }$ -algebras.
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S000497271900008X
      Issue No: Vol. 100, No. 2 (2019)
       
  • A QUANTITATIVE EXTENSION OF SZLENK’S THEOREM
    • Authors: ANDRZEJ KRYCZKA
      Pages: 338 - 343
      Abstract: We show that for a bounded subset $A$ of the $L_{1}(\unicode[STIX]{x1D707})$ space with finite measure $\unicode[STIX]{x1D707}$ , the measure of weak noncompactness of $A$ based on the convex separation of sequences coincides with the measure of deviation from the Banach–Saks property expressed by the arithmetic separation of sequences. A similar result holds for a related quantity with the alternating signs Banach–Saks property. The results provide a geometric and quantitative extension of Szlenk’s theorem saying that every weakly convergent sequence in the Lebesgue space $L_{1}$ has a subsequence whose arithmetic means are norm convergent.
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S0004972719000170
      Issue No: Vol. 100, No. 2 (2019)
       
  • RECOVERY OF THE TEMPERATURE DISTRIBUTION IN A MULTILAYER FRACTIONAL
           DIFFUSION EQUATION
    • Authors: KHIEU T. TRAN; LUAN N. TRAN, HONG B. Q. NGUYEN, KHANH Q. TRA
      Pages: 344 - 352
      Abstract: We study the inverse boundary value problem for fractional diffusion in a multilayer composite medium. Given data in the right boundary of the second layer, the problem is to recover the temperature distribution in the first layer, which is inaccessible for measurement. The problem is ill-posed and we propose a Fourier spectral approach to achieve Hölder approximations. The convergence analysis is performed in both the $L^{2}$ - and $L^{\infty }$ -settings.
      PubDate: 2019-10-01T00:00:00.000Z
      DOI: 10.1017/S000497271900011X
      Issue No: Vol. 100, No. 2 (2019)
       
 
 
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