Work

Bounds of the Mertens Function

Year: 2020

Type: preprint

Abstract: In this paper we derive new properties of Mertens function and discuss about a likely upper bound of the absolute value of the Mertens function √log(𝑥!) > |𝑀(𝑥)| when 𝑥 > 1. Using this likely bound we show that we have a sufficient condition to prove the Riemann Hypothesis.

DOI: 10.31219/osf.io/86whq

Authors: Darrell Cox, Sourangshu Ghosh

Institutions: The University of Texas at Dallas, Indian Institute of Technology Kharagpur

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

OpenAlex ID: W3116923609

Cites: 11

Cited by:

Related to: 10