A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis

DOI10.1016/J.JMAA.2022.126435zbMath1491.11107arXiv2206.09134OpenAlexW4283013194WikidataQ115188873 ScholiaQ115188873MaRDI QIDQ2157696

Shivajee Gupta, Atul Dixit, Akshaa Vatwani

Publication date: 22 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.09134

zbMATH Keywords

Dedekind zeta functiongeneralized Riemann hypothesisBessel functionmodular relationRiesz-type criterion

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Zeta functions and (L)-functions of number fields (11R42) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (2)

Riesz-type criteria for the Riemann hypothesis ⋮ Hardy-Littlewood-Riesz type equivalent criteria for the generalized Riemann hypothesis

Cites Work

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• Estimates for \(L\)-functions in the critical strip under GRH with effective applications
• Analogues of the general theta transformation formula
• On the density of the zeros of the Dedekind Zeta-function
• Riesz-type criteria for the Riemann hypothesis

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