English

Shifted convolution sum with weighted average : $GL(3) \times GL(3)$ setup

Number Theory 2025-01-08 v1

Abstract

This article will prove non-trivial estimates for the average and weighted average version of general GL(3)×GL(3)GL(3) \times GL(3) shifted convolution sums by using the circle method.

Keywords

Cite

@article{arxiv.2501.03679,
  title  = {Shifted convolution sum with weighted average : $GL(3) \times GL(3)$ setup},
  author = {Mohd Harun and Saurabh Kumar Singh},
  journal= {arXiv preprint arXiv:2501.03679},
  year   = {2025}
}

Comments

31 pages, Published in the Journal of Number Theory

R2 v1 2026-06-28T20:58:35.075Z