Number Theory

    

A New Inequality for the Riemann Hypothesis

Authors: Ryong Gil Choe

There have been published many research results on the Riemann hypothesis. In this paper, we first find a new inequality for the Riemann hypothesis on the basis of well-known Robin theorem. Next, we introduce the error terms suitable to Mertens' formula and Chebyshev's function, and obtain their estimates. With such estimates and primorial numbers, we finally prove that the new inequality holds unconditionally.

Comments: 16 pages, 2 tables

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Submission history

[v1] 2021-05-30 20:53:20
[v2] 2021-07-29 21:32:14

Unique-IP document downloads: 341 times

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