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Scholar, a scientific celebration highlighting open lines of arithmetic research : [electronic resource] conference in honour of M. Ram Murty's mathematical legacy on his 60th birthday, October 15-17, 2013, Centre de Recherches Mathematiques, Universite de Montreal, Quebec, Canada / A.C. Cojocaru, C. David, F. Pappalardi, editors.

Contributor(s): Cojocaru, Alina Carmen [editor.] | David, Chantal, 1964- [editor.] | Pappalardi, F. (Francesco), 1965- [editor.] | Murty, Maruti Ram [editor.].

Material type: materialTypeLabel

BookSeries: Contemporary mathematics, v. 655.Publisher: Providence, Rhode Island : Montreal, Quebec : American Mathematical Society ; Centre de Recherches Mathematiques, 2015Description: 1 online resource (pages cm.).Content type: text Media type: unmediated Carrier type: volumeSubject(s): Mathematics -- Research -- Congresses | Number theory -- Multiplicative number theory -- Distribution of primes | Number theory -- Multiplicative number theory -- Asymptotic results on arithmetic functions | Number theory -- Zeta and $L$-functions: analytic theory -- $\zeta (s)$ and $L(s, \chi)$ | Number theory -- Exponential sums and character sums -- Trigonometric and exponential sums, general | Number theory -- Diophantine approximation, transcendental number theory -- Transcendence (general theory) | Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Elliptic curves over global fields | Number theory -- Discontinuous groups and automorphic forms -- Modular and automorphic functions | Number theory -- Miscellaneous applications of number theory -- Miscellaneous applications of number theoryAdditional physical formats: Scholar, a scientific celebration highlighting open lines of arithmetic research :DDC classification: 512.7 Other classification: 11N05 | 11N37 | 11M06 | 11L03 | 11J81 | 11G05 | 11F03 | 11Z05 Online resources: Contents | Contents

Contents:

On the Greatest Prime Factor of Some Divisibility Sequences / Amir Akbary and Soroosh Yazdani -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13230 A Number Field Extension of a Question of Milnor / T. Chatterjee, S. Gun and P. Rath -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13229 Mixing Rates of Random Walks with Little Backtracking / Sebastian M. Cioab�a and Peng Xu -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13202 Additive and Multiplicative Functions with Similar Global Behavior / Jean-Marie De Koninck and Nicolas Doyon -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13204 Multidimensional Sequences Uniformly Distributed Modulo 1 Created from Normal Numbers / Jean-Marie De Koninck and Imre K�atai -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13203 The Index of $a$ Modulo $p$ / Adam Tyler Felix -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13228 Determining Optimal Test Functions for Bounding the Average Rank in Families of $L$-Functions / Jesse Freeman and Steven J. Miller -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13227 Familles d'�equations de Thue associ�ees �a un sous-groupe de rang $\mathbf {1}$ d'unit�es totalement r�eelles d'un corps de nombres / Claude Levesque and Michel Waldschmidt -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13225 Cyclicity of Quotients of Non-CM Elliptic Curves Modulo Primes / Giulio Meleleo -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13224 On the Euler Kronecker Constant of a Cyclotomic Field, II / Mariam Mourtada and V. Kumar Murty -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13231 The Generalized Dedekind Determinant / M. Ram Murty and Kaneenika Sinha -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13232 A Remark on Elliptic Curves with a Given Number of Points over Finite Fields / James Parks -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13233 Recovering Cusp Forms on $\mathrm {GL(2)}$ from Symmetric Cubes / Dinakar Ramakrishnan -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13205 Arithmetic Nature of Some Infinite Series and Integrals / N. Saradha and Divyum Sharma -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13234 Points on Varieties over Finite Fields in Small Boxes / Igor E. Shparlinski -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13235 Bounds for the Lang-Trotter Conjectures / David Zywina -- http://www.ams.org/conm/655/ http://dx.doi.org/10.1090/conm/655/13206

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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. Cioab�a 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 K�atai -- 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'�equations de Thue associ�ees �a un sous-groupe de rang $\mathbf {1}$ d'unit�es totalement r�eelles 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 $\mathrm {GL(2)}$ 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 --

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Contributor(s): Cojocaru, Alina Carmen [editor.] | David, Chantal, 1964- [editor.] | Pappalardi, F. (Francesco), 1965- [editor.] | Murty, Maruti Ram [editor.].