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Asymptotic Relations Between Interpolation Differences and Zeta Functions

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Publication:6421555

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DOI10.1016/J.JMAA.2022.126639arXiv2212.12468MaRDI QIDQ6421555

Author name not available (Why is that?)

Publication date: 23 December 2022

Abstract: Asymptotic relations between zeta functions (such as,

, and other Dirichlet

L

-functions) and interpolation differences of functions like

v e r t y v e r t^{s}

and their interpolating entire functions of exponential type

1

are discussed. New criteria for zeros of the zeta functions in the critical strip in terms of integrability of the interpolation differences are obtained as well.

Mathematics Subject Classification ID

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