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

2013/09/10 by Alan Haynes, Christopher J. White, Christopher White +2
Mathematics · #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #math.DS #math.NT

paper · pdf · doi:10.48550/arxiv.1309.2562

17 pages

arxiv created 2013/09/10 · arxiv updated 2013/09/11

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 small prime numbers in arithmetic progressions which lie in intervals.

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