Local oscillations in moderately dense sequences of primes

2017/02/01 by Jörg Brüdern, Christian Elsholtz, Brüdern, Jörg +1
Mathematics · #11N05 #Analytic and geometric function theory #FOS: Mathematics #Graph theory and applications #Mathematical Approximation and Integration #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1702.00289

openalex publication_date 2017/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The distribution of differences of consecutive members of sequences of primes is investigated. A quantitative measure for oscillations among these differences is the curvature of the sequence. If the sequence is not too sparse, then sharp estimates for its curvature are provided.

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