Character Sums Over The Prime Numbers

Abstract

A few elementary estimates of a basic character sum over the prime numbers are derived here. These estimates are nontrivial for character sums modulo large q. In addition, an omega result for character sums over the primes is also included.

Fourteen Pages

References in corpus (3)

• Comparative prime number theory: A survey
• Sign changes of $\pi (x,q,1)-\pi (x,q,a)$
• Multiplicative mimicry and improvements of the Polya-Vinogradov inequality