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Higher moments of primes in short intervals II

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

paper · pdf · doi:10.48550/arxiv.math/0409531

10 pages, title changed, reference changed, report number added

openalex publication_date 2004/09/27 · arxiv created 2004/11/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Given good knowledge on the even moments, we derive asymptotic formulas for λ-th moments of primes in short intervals and prove "equivalence" result on odd moments. We also provide numerical evidence in support of these results.

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