Year: 2015
Type: preprint
Abstract: Nicolas' criterion for the Riemann Hypothesis (RH) is an inequality based on primorials and the Euler totient function. The aim of this paper is to reformulate Nicolas' criterion and prove the equivalent statement. I will show that the reformulation is bounded and montonic using Chebyshev's function and results on prime numbers. I will then show this equivalent statement does not contradict Cramer's conjecture, which arises naturally when one would prove a specific sequence related to that bound is strictly decreasing.
Source: arXiv (Cornell University)
Author: Bossard, James
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2221660308