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arXiv · 2212.12468

Asymptotic Relations Between Interpolation Differences and Zeta Functions

Michael I. Ganzburg
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Abstract

Asymptotic relations between zeta functions (such as, $\zeta(s),\,\beta(s)$, and other Dirichlet $L$-functions) and interpolation differences of functions like $\vert y\vert^s$ 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.

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Michael I. Ganzburg. 2022-12-23. Asymptotic Relations Between Interpolation Differences and Zeta Functions. https://arxiv.org/abs/2212.12468

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