On a shifted convolution sum problem

Authors

Ritabrata Munshi, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Number Theory

Abstract

Let f be a holomorphic newform of prime level p and trivial nebentypus. For p1+ε≪M≪p3−ε, and 0<|u|≪M/p we prove that ∑m=1∞λf(m)λf(m+pu)F([Formula presented] where F is a compactly supported smooth bump function.

First Page

225

Last Page

232

DOI

10.1016/j.jnt.2020.12.011

Publication Date

1-1-2022

Recommended Citation

Munshi, Ritabrata, "On a shifted convolution sum problem" (2022). Journal Articles. 3428.
https://digitalcommons.isical.ac.in/journal-articles/3428