Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures

Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures
ISBN-10
1470419475
ISBN-13
9781470419479
Category
Curves, Algebraic
Pages
238
Language
English
Published
2016-04-26
Publisher
American Mathematical Soc.
Authors
Igor Shparlinski, David Kohel

Description

This volume contains the proceedings of the Winter School and Workshop on Frobenius Distributions on Curves, held from February 17–21, 2014 and February 24–28, 2014, at the Centre International de Rencontres Mathématiques, Marseille, France. This volume gives a representative sample of current research and developments in the rapidly developing areas of Frobenius distributions. This is mostly driven by two famous conjectures: the Sato-Tate conjecture, which has been recently proved for elliptic curves by L. Clozel, M. Harris and R. Taylor, and the Lang-Trotter conjecture, which is still widely open. Investigations in this area are based on a fine mix of algebraic, analytic and computational techniques, and the papers contained in this volume give a balanced picture of these approaches.

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