Power moments of the coefficients of an L-function over a polynomial in six variables
Abstract
Let f denote a normalized Hecke eigenform of an even integral weight κ ≥ 2 on the group SL2 (ℤ). We study power moments of the coefficients of an L-function associated with the eigenform f over square-free positive integers represented by the polynomial g(x1, x2, x3, x4, x5, x6) = x21 + x22 + S3≤j≤6 xj (xj + 1) ∈ ℤ[x1, x2, x3, x4, x5, x6].
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Algebra and Geometry
Advanced Mathematical Identities
Publication details
- Journal / source
- Journal of Interdisciplinary Mathematics
- Volume
- 29
- Issue
- 2
- Pages
- 371–383
- Publication date
- 1 January 2026
- Language
- EN