Abstract
We study the distribution of the zeros of the kth derivatives of the functions belonging to the extended Selberg class. We obtain the zero-free regions for these derivatives and a Riemann–von Mangoldt-type estimate of the count of their nontrivial zeros.
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This project has received funding from European Social Fund (project No. 09.3.3-LMT-K-712-02-0088) under grant agreement with the Research Council of Lithuania (LMTLT).
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Šimėnas, R. Zeros of the Higher-Order Derivatives of the Functions Belonging to the Extended Selberg Class. Lith Math J 61, 87–95 (2021). https://doi.org/10.1007/s10986-020-09498-2
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DOI: https://doi.org/10.1007/s10986-020-09498-2