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Haberland's formula and numerical computation of Petersson scalar products
- Source :
- The Open Book Series, ANTS X, ANTS X, 2012, San Diego, United States. pp.249-270, ⟨10.2140/obs.2013.1.249⟩
- Publication Year :
- 2013
-
Abstract
- International audience; 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.
- Subjects :
- Algebra
Mathematics::Group Theory
Mathematics::Number Theory
Computation
010102 general mathematics
Scalar (mathematics)
010103 numerical & computational mathematics
0101 mathematics
16. Peace & justice
Mathematics::Geometric Topology
01 natural sciences
[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 23299061
- Database :
- OpenAIRE
- Journal :
- ANTS X -- Proceedings of the Tenth Algorithmic Number Theory Symposium
- Accession number :
- edsair.doi.dedup.....5c510799dc02555415de803199c2a4f1
- Full Text :
- https://doi.org/10.2140/obs.2013.1.249