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The Average Behavior of Fourier Coefficients of Symmetric Power L-Functions.
- Source :
-
Bulletin of the Malaysian Mathematical Sciences Society . Nov2023, Vol. 46 Issue 6, p1-15. 15p. - Publication Year :
- 2023
-
Abstract
- Let H k ∗ be the set of all normalized primitive holomorphic cusp forms of even weight k ≥ 2 for S L 2 (Z) . For f ∈ H k ∗ , let λ sym j f (n) be the nth normalized Fourier coefficient of the jth symmetric power L-function attached to f. In this paper, we establish asymptotic formulas for the power sums of λ sym j f (n) and improve previous results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01266705
- Volume :
- 46
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Malaysian Mathematical Sciences Society
- Publication Type :
- Academic Journal
- Accession number :
- 172374261
- Full Text :
- https://doi.org/10.1007/s40840-023-01586-z