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A binary quadratic Titchmarsh divisor problem

Volume 192 / 2020

Junxian Li 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.

Authors

  • Junxian LiMathematisches Institut
    Georg-August-Universität Göttingen
    Bunsenstraße 3-5
    D-37073 Göttingen, Germany
    e-mail

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