Robin's Inequality for Sum of Divisors Function and the Riemann Hypothesis

Authors

  • Aleksander Grytczuk Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul.Prof.Szafrana 4a, 65-516 Zielona Góra, Poland; and Jan PaweÅ‚ II Western Higher School of International Commerce and Finance, ul.Plac SÅ‚owiaÅ„ski 9, 65-069 Zielona Góra, Poland

DOI:

https://doi.org/10.26713/jims.v4i1.63

Keywords:

Sum of divisor function, Robin's criterion, Riemann hypothesis

Abstract

Let $\sigma ( n) $ denote the sum of divisors function. In this paper we give a simple proof of the  Robin inequality \textbf{(R)}: $\sigma ( n) (R) implies Riemann Hypothesis.

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CITATION

How to Cite

Grytczuk, A. (2012). Robin’s Inequality for Sum of Divisors Function and the Riemann Hypothesis. Journal of Informatics and Mathematical Sciences, 4(1), 15–21. https://doi.org/10.26713/jims.v4i1.63

Issue

Vol. 4 No. 1 (2012)

Section

Research Articles

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