Bounded Solutions of a Complex Differential Equation for the Riemann Hypothesis

Walid OUKIL

doi:10.33774/coe-2023-sb63n-v21

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Bounded Solutions of a Complex Differential Equation for the Riemann Hypothesis

30 June 2025, Version 21

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Working Paper

Walid OUKIL

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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

We investigate the relationship between differential equations and the Riemann zeta function. We identify a more flexible function whose zeros coincide with the non-trivial zeros of the zeta function. We prove that every zero of this new function has a real part equal to $\frac{1}{2}$.

Keywords

Zeta function

Non trivial zeros

Riemann hypothesis

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