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Title: Large prime gaps and progressions with few primes
We show that the existence of arithmetic progressions with few primes, with a quantitative bound on ''few'', implies the existence of larger gaps between primes less than x than is currently known unconditionally. In particular, we derive this conclusion if there are certain types of exceptional zeros of Dirichlet L-functions.
Alessandro Zaccagnini
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Rivista di matematica della Università di Parma
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National Science Foundation
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