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arXiv · 1306.3434

Delicacy of the Riemann hypothesis and certain subsequences of superabundant numbers

Sadegh Nazardonyavi·Semyon Yakubovich
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Abstract

Robin's theorem is one of the ingenious reformulation of the Riemann hypothesis (RH). It states that the RH is true if and only if $σ(n) 5040$ where $σ(n)$ is the sum of divisors of $n$ and $γ$ is Euler's constant. In this paper we show that how the RH is delicate in terms of certain subsets of superabundant numbers, namely extremely abundant numbers and some of its specific supersets.

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Sadegh Nazardonyavi, Semyon Yakubovich. 2013-06-17. Delicacy of the Riemann hypothesis and certain subsequences of superabundant numbers. https://arxiv.org/abs/1306.3434

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