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Conference Papers Year : 2013

Haberland's formula and numerical computation of Petersson scalar products

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.
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Dates and versions

hal-00854440 , version 1 (27-08-2013)

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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⟩
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