Haberland's formula and numerical computation of Petersson scalar products

Henri Cohen 1, 2
1 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
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 Gamma = PSL_2 (Z), which gives a fast method to compute these scalar products when a Hecke eigenbasis is not necessarily available.
Document type :
Conference papers
Complete list of metadatas

https://hal.inria.fr/hal-00854440
Contributor : Andreas Enge <>
Submitted on : Tuesday, August 27, 2013 - 11:18:50 AM
Last modification on : Thursday, January 11, 2018 - 6:22:36 AM
Long-term archiving on: Thursday, April 6, 2017 - 9:18:33 AM

File

cohen.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Henri Cohen. Haberland's formula and numerical computation of Petersson scalar products. ANTS X, 2012, San Diego, United States. pp.249-270, ⟨10.2140/obs.2013.1.249⟩. ⟨hal-00854440⟩

Share

Metrics

Record views

453

Files downloads

291