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The second moment of the Fourier coefficients of triple product L-functions.
- Source :
-
Proceedings of the Indian Academy of Sciences: Mathematical Sciences . Jun2023, Vol. 133 Issue 1, p1-12. 12p. - Publication Year :
- 2023
-
Abstract
- Suppose that H ∗ is the set of all primitive cusp forms f of even integral weight k ≥ 2 for the full modular group S L 2 (Z) . In this paper, we establish asymptotic formulas for the second moment of Fourier coefficients of the triple product L-function L (s , f ⊗ f ⊗ f) and the related L-function L (s , sym 2 f ⊗ f) attached to f on average, which improves previous results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02534142
- Volume :
- 133
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Proceedings of the Indian Academy of Sciences: Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 162963313
- Full Text :
- https://doi.org/10.1007/s12044-023-00733-7