23 citations · 27 across the 9 of their papers we have counts for
8 papers · 1 filter
On the value-distribution of the logarithms of symmetric power L-functions in the level aspect
Philippe Lebacque, Kohji Matsumoto, Masahiro Mine +1
We consider the value distribution of logarithms of symmetric power L-functions associated with newforms of even weight and prime power level. In the symmetric square case, under c…
On the value-distribution of the logarithms of symmetric square L-functions in the level aspect
Philippe Lebacque, Kohji Matsumoto, Yumiko Umegaki
We consider the value distribution of logarithms of symmetric square L-functions associated with newforms of even weight and prime power level at real s> 1/2. We prove that certain…
On M-functions associated with modular forms
Philippe Lebacque, Alexey Zykin
Let be a primitive cusp form of weight and level let be a Dirichlet character of conductor coprime with and let denote either $\…
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…
The K(,1)-property for marked curves over finite fields
Philippe Lebacque, Alexander Schmidt
We investigate the K(,1)-property for p of smooth, marked curves (X,T) defined over finite fields of characteristic p. We prove that (X,T) has the K(,1)-property if X is affi…
On logarithmic derivatives of zeta functions in families of global fields
Philippe Lebacque, Alexey Zykin
We prove a formula for the limit of logarithmic derivatives of zeta functions in families of global fields with an explicit error term. This can be regarded as a rather far reachin…