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

Aleksander Grytczuk

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.

Keywords


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

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DOI: http://dx.doi.org/10.26713%2Fjims.v4i1.63

eISSN 0975-5748; pISSN 0974-875X