Subjects -> MATHEMATICS (Total: 1105 journals)
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    - MATHEMATICS (814 journals)
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    - PROBABILITIES AND MATH STATISTICS (110 journals)

MATHEMATICS (814 journals)            First | 1 2 3 4 5     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of Computational Physics     Hybrid Journal   (Followers: 70)
Journal of Computational Physics : X     Open Access   (Followers: 1)
Journal of Computer Engineering, System and Science (CESS)     Open Access  
Journal of Contemporary Mathematical Analysis     Hybrid Journal  
Journal of Cryptology     Hybrid Journal   (Followers: 3)
Journal of Difference Equations and Applications     Hybrid Journal  
Journal of Differential Equations     Full-text available via subscription   (Followers: 1)
Journal of Discrete Algorithms     Hybrid Journal   (Followers: 4)
Journal of Discrete Mathematics     Open Access   (Followers: 1)
Journal of Dynamics and Differential Equations     Hybrid Journal  
Journal of Engineering Mathematics     Hybrid Journal   (Followers: 2)
Journal of Evolution Equations     Hybrid Journal  
Journal of Experimental Algorithmics     Full-text available via subscription   (Followers: 1)
Journal of Flood Risk Management     Hybrid Journal   (Followers: 13)
Journal of Formalized Reasoning     Open Access   (Followers: 2)
Journal of Function Spaces     Open Access  
Journal of Functional Analysis     Full-text available via subscription   (Followers: 2)
Journal of Geochemical Exploration     Hybrid Journal   (Followers: 1)
Journal of Geological Research     Open Access   (Followers: 1)
Journal of Geovisualization and Spatial Analysis     Hybrid Journal  
Journal of Global Optimization     Hybrid Journal   (Followers: 7)
Journal of Global Research in Mathematical Archives     Open Access   (Followers: 1)
Journal of Group Theory     Hybrid Journal   (Followers: 2)
Journal of Homotopy and Related Structures     Hybrid Journal  
Journal of Honai Math     Open Access  
Journal of Humanistic Mathematics     Open Access   (Followers: 1)
Journal of Hyperbolic Differential Equations     Hybrid Journal  
Journal of Indian Council of Philosophical Research     Hybrid Journal  
Journal of Industrial Mathematics     Open Access   (Followers: 2)
Journal of Inequalities and Applications     Open Access  
Journal of Infrared, Millimeter and Terahertz Waves     Hybrid Journal   (Followers: 2)
Journal of Integrable Systems     Open Access   (Followers: 1)
Journal of K-Theory     Full-text available via subscription  
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 1)
Journal of Kufa for Mathematics and Computer     Open Access   (Followers: 1)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal  
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 4)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 4)
Journal of mathematical and computational science     Open Access   (Followers: 7)
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 3)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 3)
Journal of Mathematical Cryptology     Hybrid Journal   (Followers: 1)
Journal of Mathematical Extension     Open Access   (Followers: 3)
Journal of Mathematical Finance     Open Access   (Followers: 9)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 3)
Journal of Mathematical Modelling and Algorithms     Hybrid Journal   (Followers: 1)
Journal of Mathematical Neuroscience     Open Access   (Followers: 10)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 8)
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 2)
Journal of Mathematics Education at Teachers College     Open Access   (Followers: 3)
Journal of Mathematics in Industry     Open Access  
Journal of Mathematics Research     Open Access   (Followers: 6)
Journal of Metallurgy     Open Access   (Followers: 7)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access  
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 13)
Journal of Natural Sciences and Mathematics Research     Open Access  
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 1)
Journal of Nonlinear Science     Hybrid Journal   (Followers: 1)
Journal of Numerical Cognition     Open Access  
Journal of Numerical Mathematics     Hybrid Journal   (Followers: 2)
Journal of Optimization     Open Access   (Followers: 4)
Journal of Peridynamics and Nonlocal Modeling     Hybrid Journal  
Journal of Problem Solving     Open Access   (Followers: 2)
Journal of Progressive Research in Mathematics     Open Access   (Followers: 5)
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 4)
Journal of Quantitative Analysis in Sports     Hybrid Journal   (Followers: 9)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 18)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 1)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the European Mathematical Society     Full-text available via subscription   (Followers: 1)
Journal of the Indian Mathematical Society     Hybrid Journal   (Followers: 1)
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 2)
Journal of the Nigerian Mathematical Society     Open Access   (Followers: 1)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 8)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 15)
Journal of Turbulence     Hybrid Journal   (Followers: 8)
Journal of Uncertainty Analysis and Applications     Open Access  
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 11)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 5)
JUMLAHKU : Jurnal Matematika Ilmiah STKIP Muhammadiyah Kuningan     Open Access   (Followers: 4)
JURING (Journal for Research in Mathematics Learning)     Open Access   (Followers: 1)
Jurnal Ilmiah AdMathEdu     Open Access  
Jurnal Matematika     Open Access   (Followers: 1)
Jurnal Matematika Integratif     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kontinu : Jurnal Penelitian Didaktik Matematika     Open Access   (Followers: 3)
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access   (Followers: 5)
Le Matematiche     Open Access  
Learning and Teaching Mathematics     Full-text available via subscription   (Followers: 7)
Lettera Matematica     Hybrid Journal  
Lietuvos Matematikos Rinkinys     Open Access   (Followers: 3)
Limits : Journal of Mathematics and Its Applications     Open Access   (Followers: 1)
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 22)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 8)
Lithuanian Mathematical Journal     Hybrid Journal  
LMS Journal of Computation and Mathematics     Free  
Lobachevskii Journal of Mathematics     Open Access  
Logic and Analysis     Hybrid Journal   (Followers: 1)
Logic Journal of the IGPL     Hybrid Journal   (Followers: 1)
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal  
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 2)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Matematika     Open Access  
Matematychni Studii     Open Access  
Mathematica Eterna     Open Access  
Mathematica Scandinavica     Full-text available via subscription   (Followers: 1)
Mathematica Slovaca     Hybrid Journal   (Followers: 1)
Mathematical and Computational Forestry & Natural-Resource Sciences     Free  
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 3)
Mathematical Journal of Interdisciplinary Sciences     Open Access  
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 1)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 4)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling in Civil Engineering     Open Access   (Followers: 5)
Mathematical Modelling of Natural Phenomena     Full-text available via subscription   (Followers: 1)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 2)
Mathematical Models in Engineering     Open Access   (Followers: 5)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 2)
Mathematical Programming Computation     Hybrid Journal   (Followers: 3)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 13)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 3)
Mathematics and Statistics     Open Access   (Followers: 5)
Mathematics Education Forum Chitwan     Open Access   (Followers: 1)
Mathematics Education Journal     Open Access   (Followers: 2)
Mathematics Education Research Journal     Partially Free   (Followers: 18)
Mathematics in Science and Engineering     Full-text available via subscription  
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 5)
Mathematics of Quantum and Nano Technologies     Open Access  
Mathématiques et sciences humaines     Open Access   (Followers: 7)
Mathematische Annalen     Hybrid Journal   (Followers: 1)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 1)
MathLAB Journal     Open Access   (Followers: 3)
MATI : Mathematical Aspects of Topological Indeces     Open Access  
MATICS     Open Access   (Followers: 2)
Matrix Science Mathematic     Open Access   (Followers: 1)
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metaheuristics     Hybrid Journal  
Metals and Materials International     Hybrid Journal  
Metascience     Hybrid Journal   (Followers: 1)
Milan Journal of Mathematics     Hybrid Journal  
Mitteilungen der DMV     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal   (Followers: 1)
MONA : Matematik- og Naturfagsdidaktik     Hybrid Journal   (Followers: 6)
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access   (Followers: 4)
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 3)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 1)
Nagoya Mathematical Journal     Hybrid Journal  
Nano Research     Hybrid Journal   (Followers: 4)
Nanotechnologies in Russia     Hybrid Journal   (Followers: 1)
Natural Resource Modeling     Hybrid Journal   (Followers: 1)
New Mathematics and Natural Computation     Hybrid Journal  
Nonlinear Analysis : Modelling and Control     Open Access   (Followers: 1)
Nonlinear Analysis : Theory, Methods & Applications     Hybrid Journal   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
Nonlinear Engineering     Open Access  
Nonlinear Oscillations     Hybrid Journal   (Followers: 1)
North Carolina Journal of Mathematics and Statistics     Open Access  

  First | 1 2 3 4 5     

Similar Journals
Journal Cover
Nagoya Mathematical Journal
Journal Prestige (SJR): 0.892
Citation Impact (citeScore): 1
Number of Followers: 0  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0027-7630 - ISSN (Online) 2152-6842
Published by Cambridge University Press Homepage  [389 journals]
  • NMJ volume 239 Cover and Front matter
    • PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/S0027763020000173
      Issue No: Vol. 239 (2020)
       
  • NMJ volume 239 Cover and Back matter
    • PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/S0027763020000185
      Issue No: Vol. 239 (2020)
       
  • ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$W$ ++++++++++++ ++++++++ ++++-GRAPHS&rft.title=Nagoya+Mathematical+Journal&rft.issn=0027-7630&rft.date=2020&rft.volume=239&rft.spage=1&rft.epage=41&rft.aulast=HAHN&rft.aufirst=JOHANNES&rft.au=JOHANNES+HAHN&rft_id=info:doi/10.1017/nmj.2018.26">ON CANONICAL BASES AND INDUCTION OF $W$ -GRAPHS
    • Authors: JOHANNES HAHN
      Pages: 1 - 41
      Abstract: A canonical basis in the sense of Lusztig is a basis of a free module over a ring of Laurent polynomials that is invariant under a certain semilinear involution and is obtained from a fixed “standard basis” through a triangular base change matrix with polynomial entries whose constant terms equal the identity matrix. Among the better known examples of canonical bases are the Kazhdan–Lusztig basis of Iwahori–Hecke algebras (see Kazhdan and Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165–184), Lusztig’s canonical basis of quantum groups (see Lusztig, Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc. 3(2) (1990), 447–498) and the Howlett–Yin basis of induced $W$ -graph modules (see Howlett and Yin, Inducing W-graphs I, Math. Z. 244(2) (2003), 415–431; Inducing W-graphs II, Manuscripta Math. 115(4) (2004), 495–511). This paper has two major theoretical goals: first to show that having bases is superfluous in the sense that canonicalization can be generalized to nonfree modules. This construction is functorial in the appropriate sense. The second goal is to show that Howlett–Yin induction of $W$ -graphs is well-behaved a functor between module categories of $W$ -graph algebras that satisfies various properties one hopes for when a functor is called “induction,” for example transitivity and a Mackey theorem.
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.26
      Issue No: Vol. 239 (2020)
       
  • NOTES ON TORIC VARIETIES FROM MORI THEORETIC VIEWPOINT, II
    • Authors: OSAMU FUJINO; HIROSHI SATO
      Pages: 42 - 75
      Abstract: We give new estimates of lengths of extremal rays of birational type for toric varieties. We can see that our new estimates are the best by constructing some examples explicitly. As applications, we discuss the nefness and pseudo-effectivity of adjoint bundles of projective toric varieties. We also treat some generalizations of Fujita’s freeness and very ampleness for toric varieties.
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.27
      Issue No: Vol. 239 (2020)
       
  • ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$3$ ++++++++++++ ++++++++ ++++-FOLDS+IN+CHARACTERISTIC+ ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$p>5$ ++++++++++++ ++++++++ ++++&rft.title=Nagoya+Mathematical+Journal&rft.issn=0027-7630&rft.date=2020&rft.volume=239&rft.spage=76&rft.epage=109&rft.aulast=DAS&rft.aufirst=OMPROKASH&rft.au=OMPROKASH+DAS&rft_id=info:doi/10.1017/nmj.2018.28">FINITENESS OF LOG MINIMAL MODELS AND NEF CURVES ON $3$ -FOLDS IN
           CHARACTERISTIC $p>5$
    • Authors: OMPROKASH DAS
      Pages: 76 - 109
      Abstract: In this article, we prove a finiteness result on the number of log minimal models for 3-folds in $\operatorname{char}p>5$ . We then use this result to prove a version of Batyrev’s conjecture on the structure of nef cone of curves on 3-folds in characteristic $p>5$ . We also give a proof of the same conjecture in full generality in characteristic 0. We further verify that the duality of movable curves and pseudo-effective divisors hold in arbitrary characteristic. We then give a criterion for the pseudo-effectiveness of the canonical divisor $K_{X}$ of a smooth projective variety in arbitrary characteristic in terms of the existence of a family of rational curves on $X$ .
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.28
      Issue No: Vol. 239 (2020)
       
  • NO COHOMOLOGICALLY TRIVIAL NONTRIVIAL AUTOMORPHISM OF GENERALIZED KUMMER
           MANIFOLDS
    • Authors: KEIJI OGUISO
      Pages: 110 - 122
      Abstract: For a hyper-Kähler manifold deformation equivalent to a generalized Kummer manifold, we prove that the action of the automorphism group on the total Betti cohomology group is faithful. This is a sort of generalization of a work of Beauville and a more recent work of Boissière, Nieper-Wisskirchen, and Sarti, concerning the action of the automorphism group of a generalized Kummer manifold on the second cohomology group.
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.29
      Issue No: Vol. 239 (2020)
       
  • ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$g_{\unicode[STIX]{x1D706}}^{\ast+}$ ++++++++++++ ++++++++ +++++FUNCTION&rft.title=Nagoya+Mathematical+Journal&rft.issn=0027-7630&rft.date=2020&rft.volume=239&rft.spage=123&rft.epage=152&rft.aulast=LI&rft.aufirst=ZHENGYANG&rft.au=ZHENGYANG+LI&rft.au=QINGYING+XUE&rft_id=info:doi/10.1017/nmj.2018.30">ON THE BILINEAR SQUARE FOURIER MULTIPLIER OPERATORS ASSOCIATED WITH
           $g_{\unicode[STIX]{x1D706}}^{\ast }$ FUNCTION
    • Authors: ZHENGYANG LI; QINGYING XUE
      Pages: 123 - 152
      Abstract: This paper will be devoted to study a class of bilinear square-function Fourier multiplier operator associated with a symbol $m$ defined by $$\begin{eqnarray}\displaystyle & & \displaystyle \mathfrak{T}_{\unicode[STIX]{x1D706},m}(f_{1},f_{2})(x)\nonumber\\ \displaystyle & & \displaystyle \quad =\Big(\iint _{\mathbb{R}_{+}^{n+1}}\Big(\frac{t}{|x-z|+t}\Big)^{n\unicode[STIX]{x1D706}}\nonumber\\ \displaystyle & & \displaystyle \qquad \times \,\bigg|\int _{(\mathbb{R}^{n})^{2}}e^{2\unicode[STIX]{x1D70B}ix\cdot (\unicode[STIX]{x1D709}_{1}+\unicode[STIX]{x1D709}_{2})}m(t\unicode[STIX]{x1D709}_{1},t\unicode[STIX]{x1D709}_{2})\hat{f}_{1}(\unicode[STIX]{x1D709}_{1})\hat{f}_{2}(\unicode[STIX]{x1D709}_{2})\,d\unicode[STIX]{x1D709}_{1}\,d\unicode[STIX]{x1D709}_{2}\bigg|^{2}\frac{dz\,dt}{t^{n+1}}\Big)^{1/2}.\nonumber\end{eqnarray}$$ A basic fact about $\mathfrak{T}_{\unicode[STIX]{x1D706},m}$ is that it is closely associated with the multilinear Littlewood–Paley $g_{\unicode[STIX]{x1D706}}^{\ast }$ function. In this paper we first investigate the boundedness of $\mathfrak{T}_{\unicode[STIX]{x1D706},m}$ on products of weighted Lebesgue spaces. Then, the weighted endpoint $L\log L$ type estimate and strong estimate for the commutators of $\mathfrak{T}_{\unicode[STIX]{x1D706},m}$ will be demonstrated.
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.30
      Issue No: Vol. 239 (2020)
       
  • ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$L^{2}$ ++++++++++++ ++++++++ +++++EXTENSION+OF+OHSAWA–TAKEGOSHI+TYPE&rft.title=Nagoya+Mathematical+Journal&rft.issn=0027-7630&rft.date=2020&rft.volume=239&rft.spage=153&rft.epage=172&rft.aulast=HOSONO&rft.aufirst=GENKI&rft.au=GENKI+HOSONO&rft_id=info:doi/10.1017/nmj.2018.31">THE OPTIMAL JET $L^{2}$ EXTENSION OF OHSAWA–TAKEGOSHI TYPE
    • Authors: GENKI HOSONO
      Pages: 153 - 172
      Abstract: We prove the $L^{2}$ extension theorem for jets with optimal estimate following the method of Berndtsson–Lempert. For this purpose, following Demailly’s construction, we consider Hermitian metrics on jet vector bundles.
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.31
      Issue No: Vol. 239 (2020)
       
  • FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS
    • Authors: GEORGE E. ANDREWS; BRUCE C. BERNDT, SONG HENG CHAN, SUN KIM, AMITA MALIK
      Pages: 173 - 204
      Abstract: In 2005, using a famous lemma of Atkin and Swinnerton-Dyer (Some properties of partitions, Proc. Lond. Math. Soc. (3) 4 (1954), 84–106), Yesilyurt (Four identities related to third order mock theta functions in Ramanujan’s lost notebook, Adv. Math. 190 (2005), 278–299) proved four identities for third order mock theta functions found on pages 2 and 17 in Ramanujan’s lost notebook. The primary purpose of this paper is to offer new proofs in the spirit of what Ramanujan might have given in the hope that a better understanding of the identities might be gained. Third order mock theta functions are intimately connected with ranks of partitions. We prove new dissections for two rank generating functions, which are keys to our proof of the fourth, and the most difficult, of Ramanujan’s identities. In the last section of this paper, we establish new relations for ranks arising from our dissections of rank generating functions.
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.35
      Issue No: Vol. 239 (2020)
       
  • LIBERATION, FREE MUTUAL INFORMATION AND ORBITAL FREE ENTROPY
    • Authors: TAREK HAMDI
      Pages: 205 - 231
      Abstract: In this paper, we perform a detailed spectral study of the liberation process associated with two symmetries of arbitrary ranks: $(R,S)\mapsto (R,U_{t}SU_{t}^{\ast })_{t\geqslant 0}$ , where $(U_{t})_{t\geqslant 0}$ is a free unitary Brownian motion freely independent from $\{R,S\}$ . Our main tool is free stochastic calculus which allows to derive a partial differential equation (PDE) for the Herglotz transform of the unitary process defined by $Y_{t}:=RU_{t}SU_{t}^{\ast }$ . It turns out that this is exactly the PDE governing the flow of an analytic function transform of the spectral measure of the operator $X_{t}:=PU_{t}QU_{t}^{\ast }P$ where $P,Q$ are the orthogonal projections associated to $R,S$ . Next, we relate the two spectral measures of $RU_{t}SU_{t}^{\ast }$ and of $PU_{t}QU_{t}^{\ast }P$ via their moment sequences and use this relationship to develop a theory of subordination for the boundary values of the Herglotz transform. In particular, we explicitly compute the subordinate function and extend its inverse continuously to the unit circle. As an application, we prove the identity $i^{\ast }(\mathbb{C}P+\mathbb{C}(I-P);\mathbb{C}Q+\ma...
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.37
      Issue No: Vol. 239 (2020)
       
  • ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$\unicode[STIX]{x1D701}(2m+1)$ ++++++++++++ ++++++++ ++++&rft.title=Nagoya+Mathematical+Journal&rft.issn=0027-7630&rft.date=2020&rft.volume=239&rft.spage=232&rft.epage=293&rft.aulast=DIXIT&rft.aufirst=ATUL&rft.au=ATUL+DIXIT&rft.au=RAJAT+GUPTA,+RAHUL+KUMAR,+BIBEKANANDA+MAJI&rft_id=info:doi/10.1017/nmj.2018.38">GENERALIZED LAMBERT SERIES, RAABE’S COSINE TRANSFORM AND A
           GENERALIZATION OF RAMANUJAN’S FORMULA FOR $\unicode[STIX]{x1D701}(2m+1)$
           
    • Authors: ATUL DIXIT; RAJAT GUPTA, RAHUL KUMAR, BIBEKANANDA MAJI
      Pages: 232 - 293
      Abstract: A comprehensive study of the generalized Lambert series $\sum _{n=1}^{\infty }\frac{n^{N-2h}\text{exp}(-an^{N}x)}{1-\text{exp}(-n^{N}x)},00$ , $N\in \mathbb{N}$ and $h\in \mathbb{Z}$ , is undertaken. Several new transformations of this series are derived using a deep result on Raabe’s cosine transform that we obtain here. Three of these transformations lead to two-parameter generalizations of Ramanujan’s famous formula for $\unicode[STIX]{x1D701}(2m+1)$ for $m>0$ , the transformation formula for the logarithm of the Dedekind eta function and Wigert’s formula for $\unicode[STIX]{x1D701}(1/N),N$ even. Numerous important special cases of our transformations are derived, for example, a result generalizing the modular relation between the Eisenstein series $E_{2}(z)$ and $E_{2}(-1/z)$ . An identity relating $\unicode[STIX]{x1D701}(2N+1),\unicode[STIX]{x1D701}(4N+1),\ldots ,\unicode[STIX]{x1D701}(2Nm+1)$ is obtained for $N$ odd and
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.38
      Issue No: Vol. 239 (2020)
       
  • ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$p$ ++++++++++++ ++++++++ ++++-ADIC+COHOMOLOGY&rft.title=Nagoya+Mathematical+Journal&rft.issn=0027-7630&rft.date=2020&rft.volume=239&rft.spage=294&rft.epage=321&rft.aulast=BURNS&rft.aufirst=DAVID&rft.au=DAVID+BURNS&rft_id=info:doi/10.1017/nmj.2018.41">ON THE GALOIS STRUCTURE OF ARITHMETIC COHOMOLOGY I: COMPACTLY SUPPORTED
           $p$ -ADIC COHOMOLOGY
    • Authors: DAVID BURNS
      Pages: 294 - 321
      Abstract: We investigate the Galois structures of $p$ -adic cohomology groups of general $p$ -adic representations over finite extensions of number fields. We show, in particular, that as the field extensions vary over natural families the Galois modules formed by these cohomology groups always decompose as the direct sum of a projective module and a complementary module of bounded $p$ -rank. We use this result to derive new (upper and lower) bounds on the changes in ranks of Selmer groups over extensions of number fields and descriptions of the explicit Galois structures of natural arithmetic modules.
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.41
      Issue No: Vol. 239 (2020)
       
  • CONTINUITY OF HILBERT–KUNZ MULTIPLICITY AND F-SIGNATURE
    • Authors: THOMAS POLSTRA; ILYA SMIRNOV
      Pages: 322 - 345
      Abstract: We establish the continuity of Hilbert–Kunz multiplicity and F-signature as functions from a Cohen–Macaulay local ring $(R,\mathfrak{m},k)$ of prime characteristic to the real numbers at reduced parameter elements with respect to the $\mathfrak{m}$ -adic topology.
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.43
      Issue No: Vol. 239 (2020)
       
  • ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$\mathbb{A}^{2}$ ++++++++++++ ++++++++ +++++AND+ ++++++++ ++++++++ ++++++++++++ ++++++++++++++++$\mathbb{A}^{3}$ ++++++++++++ ++++++++ ++++-FORMS&rft.title=Nagoya+Mathematical+Journal&rft.issn=0027-7630&rft.date=2020&rft.volume=239&rft.spage=346&rft.epage=354&rft.aulast=DUTTA&rft.aufirst=AMARTYA&rft.au=AMARTYA+KUMAR+DUTTA&rft.au=NEENA+GUPTA,+ANIMESH+LAHIRI&rft_id=info:doi/10.1017/nmj.2018.45">ON SEPARABLE $\mathbb{A}^{2}$ AND $\mathbb{A}^{3}$ -FORMS
    • Authors: AMARTYA KUMAR DUTTA; NEENA GUPTA, ANIMESH LAHIRI
      Pages: 346 - 354
      Abstract: In this paper, we will prove that any $\mathbb{A}^{3}$ -form over a field $k$ of characteristic zero is trivial provided it has a locally nilpotent derivation satisfying certain properties. We will also show that the result of Kambayashi on the triviality of separable $\mathbb{A}^{2}$ -forms over a field $k$ extends to $\mathbb{A}^{2}$ -forms over any one-dimensional Noetherian domain containing $\mathbb{Q}$ .
      PubDate: 2020-09-01T00:00:00.000Z
      DOI: 10.1017/nmj.2018.45
      Issue No: Vol. 239 (2020)
       
 
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