Primes in short arithmetic progressions

Details Primes in short arithmetic progressions Primes in short arithmetic progressions

2011-05-09

arxiv.org/abs/1105.1623v1

Acta Arith. 106 (2003), no. 2, 143--149

Mathematics

Number Theory

Scientific paper

10.4064/aa106-2-4

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.

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