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- W2798955925 abstract "Assuming the Riemann hypothesis, we establish an upper bound for the $2k$-th discrete moment of the derivative of the Riemann zeta-function at nontrivial zeros, where $k$ is a positive real number. Our upper bound agrees with conjectures of Gonek and Hejhal and of Hughes, Keating, and O'Connell. This sharpens a result of Milinovich. Our proof builds upon a method of Adam Harper concerning continuous moments of the zeta-function on the critical line." @default.
- W2798955925 created "2018-05-07" @default.
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- W2798955925 date "2020-04-01" @default.
- W2798955925 modified "2023-10-16" @default.
- W2798955925 title "AN UPPER BOUND FOR DISCRETE MOMENTS OF THE DERIVATIVE OF THE RIEMANN ZETA‐FUNCTION" @default.
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- W2798955925 doi "https://doi.org/10.1112/mtk.12008" @default.
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