Mathematics

The Quasi-Riemann Hypothesis

O. (openai)

Research conducted by Authors present in <Authors> tag shows a major breakthrough in analytic number theory: every Dirichlet L-function, including Riemann’s zeta function, is proved to have no zeros in the half-plane Re s > 11/12. The result extends to finite-order Hecke L-functions over Q(√−3) and rules out Landau-Siegel zeros, sharpening our understanding of zero-free regions in a striking way.... show more

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Abstract

We establish the quasi-Riemann hypothesis by proving that every Dirichlet L-function, including Riemann’s zeta function, has no zeros in the half-plane Re s > 11/12. More generally, we prove the same zero-free half-plane for every finite-order Hecke L-function over K = Q(√−3). In particular, this rules out the existence of Landau-Siegel zeros.

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Published On

Oct 05, 2026

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OpenAI (OpenAI)

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