Functional Mellin and Zeta Zeros

2013/08/07 by J. LaChapelle, LaChapelle, J.
Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Mathematical and Theoretical Analysis #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1308.1639

openalex publication_date 2013/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A key theorem formulated in the context of functional Mellin transforms generalizes the important relationship \exptr M=detexp M. Along with the involution symmetry of the zeta function, the theorem suggests a strategy for tackling the Riemann hypothesis.

Citations

• Functional Mellin Transforms

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