The Theory of Hardy's Z-Function
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Publication:3166640
DOI10.1017/CBO9781139236973zbMath1269.11075OpenAlexW4245865147MaRDI QIDQ3166640
Publication date: 15 October 2012
Full work available at URL: https://doi.org/10.1017/cbo9781139236973
(zeta (s)) and (L(s, chi)) (11M06) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)
Related Items (21)
Hardy's function \(Z(t)\): results and problems ⋮ On a Cubic Moment of Hardy’s Function with a Shift ⋮ A New Reason for Doubting the Riemann Hypothesis ⋮ An approximate functional equation for the primitive of Hardy's function ⋮ A conditional optimal upper bound for the argument of the Riemann zeta function on the critical line ⋮ On the Epstein zeta function and the zeros of a class of Dirichlet series ⋮ The mean value of Hardy's function in short intervals ⋮ The weak Gram law for Hecke \(L\)-functions ⋮ Average of Hardy’s function at Gram points ⋮ Some mean value results related to Hardy's function ⋮ Mean square of the derivatives of Hardy's \(Z\)-function ⋮ Distribution of signs of Karatsuba's and generalized Davenport-Heilbronn \(Z\)-functions ⋮ On large values of Hardy’s function $Z(t)$ and its derivatives ⋮ Large positive and negative values of Hardy’s 𝑍-function ⋮ On the distribution of values of Hardy's \(Z\)-functions in short intervals. II: The \(q\)-aspect ⋮ A note on the zeros of the zeta-function of Riemann ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Optimal upper bound for the maximum of the \(k\)-th derivative of Hardy's function ⋮ Atkinson's formula for the mean square of \(\zeta (s)\) with an explicit error term
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