Asymptotic formula for shifted convolution sums involving the coefficients of an <i>L</i> -function
Abstract Let $f $ be a normalized Hecke eigenform of even weight $k \geq 2$ for $SL_2(\mathbb {Z})$ . In this article, we establish an asymptotic formula for the shifted convolution sum of a general divisor function, where the sum involves the Fourier coefficients of a multi-folded L -function weighted with a kernel function.
Authors
- Srinivas Kotyada (ORCID: https://orcid.org/0000-0001-9772-3894)
- Anuj Jakhar (ORCID: https://orcid.org/0009-0007-5951-2261)
- Naveen K. Godara
Institutions
- Indian Institute of Technology Madras (IN)
- Indian Institute of Science Education and Research, Tirupati (IN)
Publication Details
- Journal
- Canadian Mathematical Bulletin
- Published
- 2025-09-01
- DOI
- https://doi.org/10.4153/s0008439525100854
- Citations
- 1
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 3.69