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Scholar, a scientific celebration highlighting open lines of arithmetic research / [edited by] A.C. Cojocaru, C. David and F. Pappalardi.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; v 655.Publication details: Providence : American Mathematical Society, 2015.Description: xv, 256 p. : illustrations ; 25 cmISBN:
  • 9781470414573 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
On the Greatest Prime Factor of Some Divisibility Sequences / Amir Akbary and Soroosh Yazdani -- A Number Field Extension of a Question of Milnor / T. Chatterjee, S. Gun and P. Rath -- Mixing Rates of Random Walks with Little Backtracking / Sebastian M. Cioabă and Peng Xu -- Additive and Multiplicative Functions with Similar Global Behavior / Jean-Marie De Koninck and Nicolas Doyon -- Multidimensional Sequences Uniformly Distributed Modulo 1 Created from Normal Numbers / Jean-Marie De Koninck and Imre Kátai -- The Index of a Modulo p / Adam Tyler Felix -- Determining Optimal Test Functions for Bounding the Average Rank in Families of L-Functions / Jesse Freeman and Steven J. Miller -- Familles d'équations de Thue associées à un sous-groupe de rang 11 d'unités totalement réelles d'un corps de nombres / Claude Levesque and Michel Waldschmidt -- Cyclicity of Quotients of Non-CM Elliptic Curves Modulo Primes / Giulio Meleleo -- On the Euler Kronecker Constant of a Cyclotomic Field, II / Mariam Mourtada and V. Kumar Murty -- The Generalized Dedekind Determinant / M. Ram Murty and Kaneenika Sinha -- A Remark on Elliptic Curves with a Given Number of Points over Finite Fields / James Parks -- Recovering Cusp Forms on GL(2) from Symmetric Cubes / Dinakar Ramakrishnan -- Arithmetic Nature of Some Infinite Series and Integrals / N. Saradha and Divyum Sharma -- Points on Varieties over Finite Fields in Small Boxes / Igor E. Shparlinski -- Bounds for the Lang-Trotter Conjectures / David Zywina.
Summary: 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.
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Includes bibliographical references and index.

On the Greatest Prime Factor of Some Divisibility Sequences / Amir Akbary and Soroosh Yazdani --
A Number Field Extension of a Question of Milnor / T. Chatterjee, S. Gun and P. Rath --
Mixing Rates of Random Walks with Little Backtracking / Sebastian M. Cioabă and Peng Xu --
Additive and Multiplicative Functions with Similar Global Behavior / Jean-Marie De Koninck and Nicolas Doyon --
Multidimensional Sequences Uniformly Distributed Modulo 1 Created from Normal Numbers / Jean-Marie De Koninck and Imre Kátai --
The Index of a Modulo p / Adam Tyler Felix --
Determining Optimal Test Functions for Bounding the Average Rank in Families of L-Functions / Jesse Freeman and Steven J. Miller --
Familles d'équations de Thue associées à un sous-groupe de rang 11 d'unités totalement réelles d'un corps de nombres / Claude Levesque and Michel Waldschmidt --
Cyclicity of Quotients of Non-CM Elliptic Curves Modulo Primes / Giulio Meleleo --
On the Euler Kronecker Constant of a Cyclotomic Field, II / Mariam Mourtada and V. Kumar Murty --
The Generalized Dedekind Determinant / M. Ram Murty and Kaneenika Sinha --
A Remark on Elliptic Curves with a Given Number of Points over Finite Fields / James Parks --
Recovering Cusp Forms on GL(2) from Symmetric Cubes / Dinakar Ramakrishnan --
Arithmetic Nature of Some Infinite Series and Integrals / N. Saradha and Divyum Sharma --
Points on Varieties over Finite Fields in Small Boxes / Igor E. Shparlinski --
Bounds for the Lang-Trotter Conjectures / David Zywina.

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.

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