| Softcover ISBN: | 978-1-4704-1457-3 |
| Product Code: | CONM/655 |
| List Price: | $112.00 |
| MAA Member Price: | $100.80 |
| AMS Member Price: | $89.60 |
| Electronic ISBN: | 978-1-4704-2843-3 |
| Product Code: | CONM/655.E |
| List Price: | $105.00 |
| MAA Member Price: | $94.50 |
| AMS Member Price: | $84.00 |
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Book DetailsContemporary MathematicsCentre de Recherches Mathématiques ProceedingsVolume: 655; 2015; 256 ppMSC: Primary 11;
M. Ram Murty has had a profound impact on the development of number theory throughout the world. To honor his mathematical legacy, a conference focusing on new research directions in number theory inspired by his most significant achievements was held from October 15–17, 2013, at the Centre de Recherches Mathématiques in Montréal.
This proceedings volume is representative of the broad spectrum of topics that were addressed at the conference, such as elliptic curves, function field arithmetic, Galois representations, \(L\)-functions, modular forms and automorphic forms, sieve methods, and transcendental number theory.ReadershipGraduate students and research mathematicians interested in number theory.
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Table of Contents
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Articles
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Amir Akbary and Soroosh Yazdani - On the Greatest Prime Factor of Some Divisibility Sequences
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T. Chatterjee, S. Gun and P. Rath - A Number Field Extension of a Question of Milnor
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Sebastian M. Cioabă and Peng Xu - Mixing Rates of Random Walks with Little Backtracking
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Jean-Marie De Koninck and Nicolas Doyon - Additive and Multiplicative Functions with Similar Global Behavior
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Jean-Marie De Koninck and Imre Kátai - Multidimensional Sequences Uniformly Distributed Modulo 1 Created from Normal Numbers
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Adam Tyler Felix - The Index of $a$ Modulo $p$
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Jesse Freeman and Steven J. Miller - Determining Optimal Test Functions for Bounding the Average Rank in Families of $L$-Functions
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Claude Levesque and Michel Waldschmidt - Familles d’équations de Thue associées à un sous-groupe de rang $\mathbf {1}$ d’unités totalement réelles d’un corps de nombres
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Giulio Meleleo - Cyclicity of Quotients of Non-CM Elliptic Curves Modulo Primes
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Mariam Mourtada and V. Kumar Murty - On the Euler Kronecker Constant of a Cyclotomic Field, II
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M. Ram Murty and Kaneenika Sinha - The Generalized Dedekind Determinant
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James Parks - A Remark on Elliptic Curves with a Given Number of Points over Finite Fields
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Dinakar Ramakrishnan - Recovering Cusp Forms on $\mathrm {GL(2)}$ from Symmetric Cubes
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N. Saradha and Divyum Sharma - Arithmetic Nature of Some Infinite Series and Integrals
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Igor E. Shparlinski - Points on Varieties over Finite Fields in Small Boxes
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David Zywina - Bounds for the Lang-Trotter Conjectures
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Additional Material
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RequestsReview Copy – for reviewers who would like to review an AMS bookAccessibility – to request an alternate format of an AMS title
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M. Ram Murty has had a profound impact on the development of number theory throughout the world. To honor his mathematical legacy, a conference focusing on new research directions in number theory inspired by his most significant achievements was held from October 15–17, 2013, at the Centre de Recherches Mathématiques in Montréal.
This proceedings volume is representative of the broad spectrum of topics that were addressed at the conference, such as elliptic curves, function field arithmetic, Galois representations, \(L\)-functions, modular forms and automorphic forms, sieve methods, and transcendental number theory.
Graduate students and research mathematicians interested in number theory.
-
Articles
-
Amir Akbary and Soroosh Yazdani - On the Greatest Prime Factor of Some Divisibility Sequences
-
T. Chatterjee, S. Gun and P. Rath - A Number Field Extension of a Question of Milnor
-
Sebastian M. Cioabă and Peng Xu - Mixing Rates of Random Walks with Little Backtracking
-
Jean-Marie De Koninck and Nicolas Doyon - Additive and Multiplicative Functions with Similar Global Behavior
-
Jean-Marie De Koninck and Imre Kátai - Multidimensional Sequences Uniformly Distributed Modulo 1 Created from Normal Numbers
-
Adam Tyler Felix - The Index of $a$ Modulo $p$
-
Jesse Freeman and Steven J. Miller - Determining Optimal Test Functions for Bounding the Average Rank in Families of $L$-Functions
-
Claude Levesque and Michel Waldschmidt - Familles d’équations de Thue associées à un sous-groupe de rang $\mathbf {1}$ d’unités totalement réelles d’un corps de nombres
-
Giulio Meleleo - Cyclicity of Quotients of Non-CM Elliptic Curves Modulo Primes
-
Mariam Mourtada and V. Kumar Murty - On the Euler Kronecker Constant of a Cyclotomic Field, II
-
M. Ram Murty and Kaneenika Sinha - The Generalized Dedekind Determinant
-
James Parks - A Remark on Elliptic Curves with a Given Number of Points over Finite Fields
-
Dinakar Ramakrishnan - Recovering Cusp Forms on $\mathrm {GL(2)}$ from Symmetric Cubes
-
N. Saradha and Divyum Sharma - Arithmetic Nature of Some Infinite Series and Integrals
-
Igor E. Shparlinski - Points on Varieties over Finite Fields in Small Boxes
-
David Zywina - Bounds for the Lang-Trotter Conjectures
