English

A binary quadratic Titchmarsh divisor problem

Number Theory 2018-08-14 v2

Abstract

We consider a binary quadratic variant of the Titchmarsh divisor problem and give an asymptotic formula for p2+q2Nτ(p2+q2+1)\sum_{p^2+q^2\leq N} \tau(p^2+q^2+1), where p,qp,q are primes.

Keywords

Cite

@article{arxiv.1808.00837,
  title  = {A binary quadratic Titchmarsh divisor problem},
  author = {Junxian Li},
  journal= {arXiv preprint arXiv:1808.00837},
  year   = {2018}
}
R2 v1 2026-06-23T03:22:51.586Z