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Chen primes in arithmetic progressions

Volume 182 / 2018

Paweł Lewulis Acta Arithmetica 182 (2018), 301-310 MSC: 11N05, 11N35, 11N36. DOI: 10.4064/aa8417-1-2017 Published online: 22 January 2018

Abstract

We find a lower bound for the number of Chen primes in the arithmetic progression $a \bmod q$, where $(a,q)=(a+2,q)=1$. Our estimate is uniform for $q \leq \log^M x$, where $M \gt 0$ is fixed.

Authors

  • Paweł LewulisInstitute of Mathematics
    Polish Academy of Sciences
    00-656 Warszawa, Poland
    e-mail

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