Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals

Alan Haynes; Christopher J. White

doi:10.1016/j.aim.2013.11.014

Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals

Alan Haynes^*, Christopher J. White

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

1 Citation (Scopus)

Abstract

We investigate the question of which growth rates are possible for the number of periodic points of a compact group automorphism. Our arguments involve a modification of Linnik's Theorem, concerning mall prime numbers in arithmetic progressions which lie in intervals. (C) 2013 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	572-585
Number of pages	14
Journal	Advances in Mathematics
Volume	252
DOIs	https://doi.org/10.1016/j.aim.2013.11.014
Publication status	Published - 15 Feb 2014

Keywords

Periodic points of group automorphisms
Primes in arithmetic progressions in short intervals
Linnik's Theorem

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Diophantine approximation, chromatic number, and equivalence classes of separated nets
Haynes, A. K. (Principal Investigator)
1/07/13 → 1/07/15
Project: Research
Career Acceleration Fellowship
Haynes, A. K. (Principal Investigator)
1/10/11 → 1/10/13
Project: Research

Cite this

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title = "Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals",

abstract = "We investigate the question of which growth rates are possible for the number of periodic points of a compact group automorphism. Our arguments involve a modification of Linnik's Theorem, concerning mall prime numbers in arithmetic progressions which lie in intervals. (C) 2013 Elsevier Inc. All rights reserved.",

keywords = "Periodic points of group automorphisms, Primes in arithmetic progressions in short intervals, Linnik's Theorem",

author = "Alan Haynes and White, \{Christopher J.\}",

year = "2014",

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doi = "10.1016/j.aim.2013.11.014",

language = "English",

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journal = "Advances in Mathematics",

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T1 - Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals

AU - Haynes, Alan

AU - White, Christopher J.

PY - 2014/2/15

Y1 - 2014/2/15

N2 - We investigate the question of which growth rates are possible for the number of periodic points of a compact group automorphism. Our arguments involve a modification of Linnik's Theorem, concerning mall prime numbers in arithmetic progressions which lie in intervals. (C) 2013 Elsevier Inc. All rights reserved.

AB - We investigate the question of which growth rates are possible for the number of periodic points of a compact group automorphism. Our arguments involve a modification of Linnik's Theorem, concerning mall prime numbers in arithmetic progressions which lie in intervals. (C) 2013 Elsevier Inc. All rights reserved.

KW - Periodic points of group automorphisms

KW - Primes in arithmetic progressions in short intervals

KW - Linnik's Theorem

U2 - 10.1016/j.aim.2013.11.014

DO - 10.1016/j.aim.2013.11.014

M3 - Article (Academic Journal)

SN - 0001-8708

VL - 252

SP - 572

EP - 585

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals

Abstract

Keywords

Access to Document

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Projects

Diophantine approximation, chromatic number, and equivalence classes of separated nets

Career Acceleration Fellowship

Cite this