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- W2016164022 abstract "Let k be any positive integer and N 0, k ( T ) the number of the zeros in the interval (0, T ) of Z ( k ) ( t ), the k th derivative of Hardy's Z -function. We prove an inequality for N 0, k ( T ) (Theorem 1), and also prove that it can be replaced by the equality under the Riemann hypothesis (Theorem 2). The key fact of the proof is the construction of a meromorphic function η k ( s ), which satisfies an appropriate recurrence formula and a functional equation." @default.
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- W2016164022 date "1999-04-01" @default.
- W2016164022 modified "2023-10-16" @default.
- W2016164022 title "On the Zeros of Higher Derivatives of Hardy'sZ-Function" @default.
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- W2016164022 doi "https://doi.org/10.1006/jnth.1998.2341" @default.
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