Primes in Arithmetic Progressions to Large Moduli. III
Primes in Arithmetic Progressions to Large Moduli. III
q<x'l' log-II x (q .a)=1-A In(x; q ,a) -n(x)!</J(q)1 «:A x log x.This deals with essentially the same range of q as can be treated conditionally under GRH for individual progressions.For significantly larger q, the asymptotic formula is not known to hold, even in the above averaged sense, but there …