Primes in arithmetic progressions under the presence of Landau-Siegel zeroes

Stelios Sachpazis

Let $x⩾2$ and assume that $a$ and $q$ are coprime positive integers. As usual, $\psi (x;q,a):={\sum }_{n⩽x,n\equiv a(\mathrm{mod}q)}\Lambda (n)$, where $\Lambda$ is the von Mango…