2 papers
math.NT2014
Uniform distribution of zeroes of -functions of modular forms
Alexey Zykin
We prove under GRH that zeros of -functions of modular forms of level and weight become uniformly distributed on the critical line when
math.NT2014
On the Number of Rational Points of Jacobians over Finite Fields
Philippe Lebacque, Alexey Zykin
In this article we prove lower and upper bounds for class numbers of algebraic curves defined over finite fields. These bounds turn out to be better than most of the previously kno…