Contemporary Mathematics
Volume: 655;
2015;
256 pp;
Softcover
MSC: Primary 11;
Print ISBN: 978-1-4704-1457-3
Product Code: CONM/655
List Price: $105.00
AMS Member Price: $84.00
MAA Member Price: $94.50
Electronic ISBN: 978-1-4704-2843-3
Product Code: CONM/655.E
List Price: $105.00
AMS Member Price: $84.00
MAA Member Price: $94.50
SCHOLAR—a Scientific Celebration Highlighting Open Lines of Arithmetic Research
Share this pageEdited by A. C. Cojocaru; C. David; F. Pappalardi
A co-publication of the AMS and Centre de Recherches Mathématiques
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.
Readership
Graduate students and research mathematicians interested in number theory.
Table of Contents
SCHOLAR -- a Scientific Celebration Highlighting Open Lines of Arithmetic Research
- Cover Cover11 free
- Title page iii4 free
- Contents vii8 free
- Preface ix10 free
- On the Greatest Prime Factor of Some Divisibility Sequences 118 free
- A Number Field Extension of a Question of Milnor 1532
- 1. Introduction 1532
- 2. The analogous case for the space generated by the values of 𝐿(1,𝜒) 1734
- 3. Extended Milnor conjecture over number fields intersecting \Q(𝜁_{𝑞}) trivially 1835
- 4. Extended Milnor conjecture over number fields intersecting \Q(𝜁_{𝑞}) non-trivially 2138
- 5. Space generated by normalised Hurwitz zeta values 2340
- References 2542
- Mixing Rates of Random Walks with Little Backtracking 2744
- Additive and Multiplicative Functions with Similar Global Behavior 5976
- 1. Introduction 5976
- 2. Additive and multiplicative function functions with the same limit distribution 6077
- 3. Additive and multiplicative functions with same mean and variance 6279
- 4. Additive and multiplicative functions whose mean value behaves like loglog𝑛 6683
- 5. Multiplicative functions with a large variance 7289
- 6. Numerical computations 7390
- 7. Final remarks 7491
- References 7592
- Multidimensional Sequences Uniformly Distributed Modulo 1 Created from Normal Numbers 7794
- The Index of 𝑎 Modulo 𝑝 83100
- Determining Optimal Test Functions for Bounding the Average Rank in Families of 𝐿-Functions 97114
- Familles d’équations de Thue associées à un sous-groupe de rang 1 d’unités totalement réelles d’un corps de nombres 117134
- Cyclicity of Quotients of Non-CM Elliptic Curves Modulo Primes 135152
- On the Euler Kronecker Constant of a Cyclotomic Field, II 143160
- The Generalized Dedekind Determinant 153170
- 1. Introduction 153170
- 2. A lemma from elementary linear algebra 155172
- 3. The Dedekind determinant and proof of Theorem 1.1 155172
- 4. A combinatorial analog of the Dedekind determinant and proof of Theorem 1.2 157174
- 5. A modular analogue of the Dedekind determinant 161178
- 6. The Redheffer matrix revisited 161178
- 7. Link with chromatic polynomials 163180
- 8. Concluding remarks 163180
- References 163180
- A Remark on Elliptic Curves with a Given Number of Points over Finite Fields 165182
- Recovering Cusp Forms on 𝐺𝐿(2) from Symmetric Cubes 181198
- Arithmetic Nature of Some Infinite Series and Integrals 191208
- Points on Varieties over Finite Fields in Small Boxes 209226
- Bounds for the Lang-Trotter Conjectures 235252
- Back Cover Back Cover1274