Nontrivial zeros of the Riemann zeta function

Austin, James

Abstract

The Riemann hypothesis, stating that all nontrivial zeros of the Riemann zeta function have real parts equal to 1/2, is one of the most important conjectures in mathematics. In this paper we prove the Riemann hypothesis by solving an integral form of the zeta function for the real parts and showing that a ratio of divergent terms can only be finite and nonzero, as required, when the real parts are exactly 1/2.

Citation

Austin, J. Nontrivial zeros of the Riemann zeta function

• Working Paper Type: Working Paper
• Publicly Available Date: May 30, 2023
• Public URL: https://keele-repository.worktribe.com/output/425986
• Publisher URL: https://www.researchgate.net/publication/369952664_Nontrivial_zeros_of_the_Riemann_zeta_function