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A Bombieri-Vinogradov type exponential sum result with applications
Authors:Kaisa Matomäki
Institution:Department of Mathematics, University of Turku, 20014 Turku, Finland
Abstract:We prove a Bombieri-Vinogradov type result for linear exponential sums over primes. Then we apply it to show that, for any irrational α and some θ>0, there are infinitely many primes p such that p+2 has at most two prime factors and ‖αp+β‖<pθ.
Keywords:11L20  11N13  11N36
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