Asymptotic estimation of $\xi ^{(2n)}(1/2)$: On a conjecture of Farmer and Rhoades

DOI10.1090/S0025-5718-08-02167-4zbMath1257.11079WikidataQ123001710 ScholiaQ123001710MaRDI QIDQ3055136

Mark W. Coffey

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

asymptotic estimationxi functionderivatives of the Riemann \(\xi \) functionTurán differences

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (6)

On the log-concavity of a Jacobi theta function ⋮ Zeros of Jensen polynomials and asymptotics for the Riemann xi function ⋮ On the distribution of zeros of derivatives of the Riemann \(\xi \)-function ⋮ Jensen polynomials are not a plausible route to proving the Riemann hypothesis ⋮ Pair correlation of the zeros of the derivative of the Riemann ξ -function ⋮ Orthogonal polynomial expansions for the Riemann xi function in the Hermite, Meixner--Pollaczek, and continuous Hahn bases

Cites Work

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• Asymptotic expansions for the coefficients of analytic functions
• Asymptotic Approximations of Integrals
• A Generalisation of Stirling's Formula.
• New summation relations for the Stieltjes constants
• The Riemann Hypothesis and the Turan Inequalities
• Differentiation evens out zero spacings
• A Note on the Riemann ξ-Function
• New results concerning power series expansions of the Riemann xi function and the Li/Keiper constants
• On a Class of Fourier Transforms
• On the Asymptotic Behavior of the Riemann ξ-Function

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