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Primes in short arithmetic progressions

By Jan-Christoph Schlage-Puchta

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

Topics: Mathematics - Number Theory, 11N35
Year: 2011
DOI identifier: 10.4064/aa106-2-4
OAI identifier: oai:arXiv.org:1105.1623
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