Improving and Maximal Inequalities for Primes in Progressions

Christina Giannitsi, Michael T. Lacey, Hamed Mousavi +1

Assume that $y<N$ are integers, and that $(b,y)=1$. Define an average along the primes in a progression of diameter $y$, given by integer $(b,y)=1$. \begin{align*} A_{N,y,b…