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Products of primes in arithmetic progressions: a footnote in parity breaking

Published 18 Oct 2016 in math.NT | (1610.05804v2)

Abstract: We prove that, if $x$ and $q\leqslant x{1/16}$ are two parameters, then for any invertible residue class $a$ modulo $q$ there exists a product of exactly three primes, each one below $x{1/3}$, that is congruent to $a$ modulo $q$.

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Authors (2)

  1. Olivier Ramaré 
  2. Aled Walker 

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