An asymptotic version of the prime power conjecture for perfect difference sets

Sarah Peluse

doi:10.1007/s00208-021-02188-5

An asymptotic version of the prime power conjecture for perfect difference sets

Sarah Peluse

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We show that the number of positive integers n≤ N such that Z/ (n²+ n+ 1) Z contains a perfect difference set is asymptotically NlogN.

Original language	English (US)
Pages (from-to)	1387-1425
Number of pages	39
Journal	Mathematische Annalen
Volume	380
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-021-02188-5
State	Published - Aug 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00208-021-02188-5

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title = "An asymptotic version of the prime power conjecture for perfect difference sets",

abstract = "We show that the number of positive integers n≤ N such that Z/ (n2+ n+ 1) Z contains a perfect difference set is asymptotically NlogN.",

author = "Sarah Peluse",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

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An asymptotic version of the prime power conjecture for perfect difference sets

Abstract

All Science Journal Classification (ASJC) codes

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