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A note on primes in short intervals
Authors:Danilo Bazzanella
Affiliation:(1) Dipartimento di Matematica, Politecnico di Torino, 10129 Torino, Italy
Abstract:This paper is concerned with the number of primes in short intervals. We prove that $$psi(x+x^theta) - psi(x) sim x^theta$$, for θ > 1/2, with the assumption of an heuristic hypothesis weaker than the Lindel?f hypothesis. Received: 8 October 2007, Revised: 14 April 2008
Keywords:  KeywordHeading"  >Mathematics Subject Classification (2000). 11N05
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