English

The spectral decomposition of shifted convolution sums

Number Theory 2024-11-18 v2 Representation Theory

Abstract

We obtain a spectral decomposition of shifted convolution sums in Hecke eigenvalues of holomorphic or Maass cusp forms.

Keywords

Cite

@article{arxiv.math/0703246,
  title  = {The spectral decomposition of shifted convolution sums},
  author = {Valentin Blomer and Gergely Harcos},
  journal= {arXiv preprint arXiv:math/0703246},
  year   = {2024}
}

Comments

15 pages, LaTeX2e; v2: corrected and slightly expanded version

R2 v1 2026-07-22T17:52:23.049Z