Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals
classification
🧮 math.DS
math.NT
keywords
arithmeticgroupgrowthintervalsperiodicpointsprogressionssmall
read the original 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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