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Relations between dynamical degrees, Weil’s Riemann hypothesis and the standard conjectures

Commentarii Mathematici Helvetici, 2016
Let \mathbb{K} be an algebraically closed field, X a smooth projective variety over \mathbb{K} and f \colon X\rightarrow X a dominant regular morphism. Let N^{i}(X) be the group of algebraic cycles, of codimension
T. Truong
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On infinitely divisible distributions related to the Riemann hypothesis

Statistics & Probability Letters, 2023
Takashi Nakamura, Masatoshi Suzuki
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Riemann Hypothesis

Claim – I give a constructive octonionic proof of the Riemann Hypothesis: every non-trivial zero of ζ(s) lies on Re s = ½. Key step – The Determinant-Zeta Identity (Theorem 6.1, Sect. 6) shows det⁡ ⁣(s(1−s)I−(H−14))=C ζ(s)−1,\det\!\bigl(s(1-s)I-(H-\tfrac14)\bigr)=C\,\zeta(s)^{-1},det(s(1−s)I−(H−41))=Cζ(s)−1, so the poles of the Fredholm determinant ...
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On a Category of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis

Trigonometric Sums and Their Applications, 2018
The purpose of the present paper is to provide a general overview of a variety of results related to a category of cotangent sums which have been proven to be associated to the so-called Nyman-Beurling criterion for the Riemann Hypothesis. These sums are
K. Kovalenko, N. Derevyanko
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A note on series equivalent of the Riemann hypothesis

Indian journal of pure and applied mathematics, 2022
Shekhar Suman, Raman Kumar Das
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The Riemann Hypothesis

We prove that all nontrivial zeros of the Riemann zeta function lie on the critical line. The proof runs on a single route: a quantitative boundary certificate on the half-plane {Re s > 1/2} yields an almost-everywhere boundary wedge (P+), this lifts via Poisson/Herglotz to a Schur bound for a Cayley transform of a normalized determinant ratio, and a ...
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The Riemann hypothesis

Resonance, 2006
This article introduces one of the outstanding problems of today-a legacy of Bernhard ...
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A Quantum Model of the Distribution of Prime Numbers and the Riemann Hypothesis

International Journal of Theoretical Physics, 2020
V. Barbarani
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