Higher moments of primes in short intervals I

2004/09/27 by Tsz Ho Chan, Chan, Tsz Ho
Mathematics · #11N05 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11N05

paper · pdf · doi:10.48550/arxiv.math/0409530

13 pages, title changed, report number added

arxiv created 2004/11/22 · arxiv updated 2009/12/01

Abstract

In this article, we prove an "equivalence" between two higher even moments of primes in short intervals under Riemann Hypothesis. We also provide numerical evidence in support of these asymptotic formulas.

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