Mixed integral moments of the Hecke $L$-functions and Riemann zeta function
Abstract
In this paper, let $f$ be a Hecke cusp form for $SL(2,\mathbb{Z})$. We establish an asymptotic formula for the mixed moment of $ζ^{2}(s)$ and $L(s,f)$ on the critical line, valid for both holomorphic and Maass forms.
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Algebra and Geometry
Advanced Mathematical Identities
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 27 January 2026
- Document type
- Preprint