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Integral mean-square estimation of error terms of Fourier coefficients attached to cusp forms.
- Source :
-
Proceedings of the Indian Academy of Sciences: Mathematical Sciences . Dec2023, Vol. 133 Issue 2, p1-19. 19p. - Publication Year :
- 2023
-
Abstract
- Let f, g be two distinct primitive holomorphic cusp forms of even integral weights k 1 , k 2 for the full modular group Γ = S L (2 , Z) , respectively. In this paper, we are interested in the upper bounds for the integral mean square of error terms involving λ f 2 i 1 (n) , λ f 2 (n j 1) and λ f 2 (n i 2) λ g 2 (n j 2) on average in terms of f, g respectively. Here i 1 ≥ 2 , j 1 ≥ 3 and i 2 , j 2 ≥ 1 are positive integers. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRALS
*INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 02534142
- Volume :
- 133
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Proceedings of the Indian Academy of Sciences: Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 166104537
- Full Text :
- https://doi.org/10.1007/s12044-023-00737-3