Softcover ISBN:  9781470414573 
Product Code:  CONM/655 
List Price:  $112.00 
MAA Member Price:  $100.80 
AMS Member Price:  $89.60 
Electronic ISBN:  9781470428433 
Product Code:  CONM/655.E 
List Price:  $105.00 
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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.

Table of Contents

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

JeanMarie De Koninck and Nicolas Doyon  Additive and Multiplicative Functions with Similar Global Behavior

JeanMarie 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 sousgroupe de rang $\mathbf {1}$ d’unités totalement réelles d’un corps de nombres

Giulio Meleleo  Cyclicity of Quotients of NonCM 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 LangTrotter Conjectures


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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

JeanMarie De Koninck and Nicolas Doyon  Additive and Multiplicative Functions with Similar Global Behavior

JeanMarie 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 sousgroupe de rang $\mathbf {1}$ d’unités totalement réelles d’un corps de nombres

Giulio Meleleo  Cyclicity of Quotients of NonCM 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 LangTrotter Conjectures