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Asymptotics for the second moment of the Dirichlet coefficients of symmetric power L-functions.
- Source :
-
Lithuanian Mathematical Journal . Apr2024, Vol. 64 Issue 2, p163-176. 14p. - Publication Year :
- 2024
-
Abstract
- Let m ≥ 2 be an integer. Let f be a holomorphic Hecke eigenform of even weight k for the full modular group SL(2, ℤ). Denote by λSymmf (n) the nth normalized Dirichlet coefficient of the corresponding symmetric power L-function L(s, Symm f) related to f. In this paper, we study the average behavior of the second moment of the Dirichlet coefficients λSymmf (n) and establish its asymptotic formula. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MODULAR groups
*L-functions
*CUSP forms (Mathematics)
*INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 03631672
- Volume :
- 64
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Lithuanian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 178276638
- Full Text :
- https://doi.org/10.1007/s10986-024-09636-0