Shifted convolution sums of divisor functions associated with the symmetric power lifts of GL(2)-forms

Authors

• Kalyan Chakraborty, SRM University-AP
• Naveen K. Godara, SRM University-AP
• Lalit Vaishya, Indian Statistical Institute (Delhi Centre)

Article Type

Research Article

Publication Title

Ramanujan Journal

Abstract

We study the average of shifted convolution sums involving the Fourier coefficients of the symmetric power lifts of Hecke eigenforms. Moreover, we obtain a similar result for the Hecke–Maass eigenforms under certain suitable conditions.

DOI

10.1007/s11139-025-01197-1

Publication Date

10-1-2025

Recommended Citation

Chakraborty, Kalyan; Godara, Naveen K.; and Vaishya, Lalit, "Shifted convolution sums of divisor functions associated with the symmetric power lifts of GL(2)-forms" (2025). Journal Articles. 5576.
https://digitalcommons.isical.ac.in/journal-articles/5576