A Divisor Function Inequality

Abstract

This short note provides a sharper upper bound of a well known inequality for the sum of divisors function. This is a problem in pure mathematics related to the distribution of prime numbers. Furthermore, the technique is completely elementary.

Thirteen Pages, Improved Version

References in corpus (5)

• Mertens' Proof of Mertens' Theorem
• On Robin's criterion for the Riemann Hypothesis
• The Nicolas and Robin inequalities with sums of two squares
• Sieving and the Erd{\H o}s-Kac theorem
• A Totient Function Inequality

Cited by in corpus (1)

• Riemann hypothesis from the Dedekind psi function