English

Shifted convolution and the Titchmarsh divisor problem over F_q[t]

Number Theory 2015-08-19 v2

Abstract

In this paper we solve a function field analogue of classical problems in analytic number theory, concerning the auto-correlations of divisor functions, in the limit of a large finite field.

Cite

@article{arxiv.1407.2076,
  title  = {Shifted convolution and the Titchmarsh divisor problem over F_q[t]},
  author = {J. C. Andrade and L. Bary-Soroker and Z. Rudnick},
  journal= {arXiv preprint arXiv:1407.2076},
  year   = {2015}
}

Comments

22 pages, updated version

R2 v1 2026-06-22T04:58:11.760Z