Primes in short arithmetic progressions

Abstract

We give a large sieve type inequality for functions supported on primes. As application we prove a conjecture by Elliott, and give bounds for short character sums over primes. The proves uses a combination of the large sieve and the Selberg sieve.

Cited by in corpus (3)

• Multiplicative functions in short arithmetic progressions
• Sifted character sums and free quotients of Bianchi groups
• Products of primes in arithmetic progressions