Local oscillations in moderately dense sequences of primes

Jörg Brüdern; Christian Elsholtz

doi:10.1007/978-3-319-55357-3_8

Local oscillations in moderately dense sequences of primes

Jörg Brüdern^*, Christian Elsholtz

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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.

Original language	English
Title of host publication	Number Theory - Diophantine Problems, Uniform Distribution and Applications
Subtitle of host publication	Festschrift in Honour of Robert F. Tichy's 60th Birthday
Publisher	Springer International Publishing AG
Pages	193-210
Number of pages	18
ISBN (Electronic)	9783319553573
ISBN (Print)	9783319553566
DOIs	https://doi.org/10.1007/978-3-319-55357-3_8
Publication status	Published - 1 Jun 2017

ASJC Scopus subject areas

Mathematics(all)

Fields of Expertise

Information, Communication & Computing

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10.1007/978-3-319-55357-3_8

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Local oscillations in moderately dense sequences of primes. / Brüdern, Jörg; Elsholtz, Christian.
Number Theory - Diophantine Problems, Uniform Distribution and Applications: Festschrift in Honour of Robert F. Tichy's 60th Birthday. Springer International Publishing AG , 2017. p. 193-210.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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Local oscillations in moderately dense sequences of primes

Abstract

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