On theta type functions associated with the zeros of the Selberg zeta functions.
We apply G. Prasad’s volume formula for the arithmetic quotients of semi-simple groups and Bruhat-Tits theory to study the covolumes of arithmetic subgroups of . As a result we prove that for any even dimension there exists a unique compact arithmetic hyperbolic -orbifold of the smallest volume. We give a formula for the Euler-Poincaré characteristic of the orbifolds and present an explicit description of their fundamental groups as the stabilizers of certain lattices in quadratic spaces. We...
In the paper the asymptotics for Dirichlet polynomials associated to certain cusp forms are obtained.
A formula for the mean value of multiplicative functions associated to certain cusp forms is obtained. The paper is a continuation of [4].
In this article we consider one special class of modular forms which are products of Dedekind -functions and the relationships between these functions and representations of finite groups.
Nous rappelons que Manin décrit l’homologie singulière relative aux pointes de la courbe modulaire comme un quotient du groupe . En s’appuyant sur des techniques de fractions continues, nous donnons une expression indépendante de d’un relèvement de l’action des opérateurs de Hecke de sur .