Displaying 1261 – 1280 of 2107

Showing per page

On volumes of arithmetic quotients of S O ( 1 , n )

Mikhail Belolipetsky (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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 S O ( 1 , n ) . As a result we prove that for any even dimension  n there exists a unique compact arithmetic hyperbolic n -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...

One special class of modular forms and group representations

Galina V. Voskresenskaya (1999)

Journal de théorie des nombres de Bordeaux

In this article we consider one special class of modular forms which are products of Dedekind η -functions and the relationships between these functions and representations of finite groups.

Opérateurs de Hecke pour Γ 0 ( N ) et fractions continues

Loïc Merel (1991)

Annales de l'institut Fourier

Nous rappelons que Manin décrit l’homologie singulière relative aux pointes de la courbe modulaire X 0 ( N ) comme un quotient du groupe Z ( P 1 ( Z / N Z ) ) . En s’appuyant sur des techniques de fractions continues, nous donnons une expression indépendante de N d’un relèvement de l’action des opérateurs de Hecke de H 1 ( X 0 ( N ) , p t e s , Z ) sur Z ( P 1 ( Z / N Z ) ) .

Currently displaying 1261 – 1280 of 2107