Properties of counterexample to Robin hypothesis

2019/01/16 by Xiaolong Wu, Wu, Xiaolong
Mathematics · #11A25 11A41 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11A25 #msc:11A41

paper · pdf · doi:10.48550/arxiv.1901.09832

23 pages

arxiv created 2019/02/14 · arxiv updated 2019/02/18

Abstract

Let G(n)=σ(n)/(n log log n ). Robin made hypothesis that G(n)<e^γ for all integer n>5040. If there exists counterexample to Robin hypothesis, then there must exist finite number of counterexamples n>5040 such that G(n) attains largest value. This article studies various properties of such number.

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