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New Formulas for the Riemann Zeta Function

open access: yes, 2022
A new method for continuing the usual Dirichlet series that defines the Riemann zeta function ${\zeta}(s)$ is presented. Numerical experiments demonstrating the computational efficacy of the resulting continuation are discussed.Comment: 13 pages, 2 ...
Akula, Aditya, Hiary, Ghaith
core  

The double Riemann zeta function [PDF]

open access: yes
In 1992 Deninger showed a version of explicit formulas for the Riemann zeta function. In this paper we establish a duplication of Deninger’s explicit formula in the sense of the absolute tensor product due to Kurokawa.
9984, Akatsuka, Hirotaka
core  

The UV prolate spectrum matches the zeros of zeta. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Connes A, Moscovici H.
europepmc   +1 more source

The Riemann Hypothesis manifested in dynamical quantum phase transitions. [PDF]

open access: yesNat Commun
Wei S   +9 more
europepmc   +1 more source

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