Vol. 1, No. 1, 2013

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Haberland's formula and numerical computation of Petersson scalar products

Henri Cohen

Vol. 1 (2013), No. 1, 249–270
Abstract

We study several methods for the numerical computation of Petersson scalar products, and in particular we prove a generalization of Haberland’s formula to any subgroup of finite index G of Γ = PSL2(), which gives a fast method to compute these scalar products when a Hecke eigenbasis is not necessarily available.

Keywords
Petersson product
Mathematical Subject Classification 2010
Primary: 11F11
Secondary: 11Y35
Milestones
Published: 14 November 2013
Authors
Henri Cohen
Université Bordeaux I
Institut de Mathématiques de Bordeaux
351 Cours de la Libération
33405 Talence Cedex
France