A binary quadratic Titchmarsh divisor problem
Volume 192 / 2020
Acta Arithmetica 192 (2020), 341-361
MSC: 11L20, 11N37, 11N36, 11L07.
DOI: 10.4064/aa180802-19-2
Published online: 12 December 2019
Abstract
We consider a binary quadratic variant of the Titchmarsh divisor problem and give an asymptotic formula for $\sum _{p^2+q^2\leq N} \tau (p^2+q^2+1)$, where $p,q$ are primes.
