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arXiv · 1105.1623

Primes in short arithmetic progressions

Jan-Christoph Schlage-Puchta
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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.

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Jan-Christoph Schlage-Puchta. 2011-05-09. Primes in short arithmetic progressions. https://doi.org/10.4064/aa106-2-4

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