Hilbert's Inequality and Witten's Zeta-Function

DOI10.1080/00029890.2008.11920505zbMath1148.26023OpenAlexW2225503362WikidataQ58269025 ScholiaQ58269025MaRDI QIDQ3505012

Jonathan M. Borwein

Publication date: 18 June 2008

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1959.13/940057

zbMATH Keywords

multiple zeta valuesHilbert matrixHilbert's inequality

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Inequalities for sums, series and integrals (26D15) Evaluation of number-theoretic constants (11Y60)

Related Items (14)

Computation and structure of character polylogarithms with applications to character Mordell–Tornheim–Witten sums ⋮ A Letter From the Editor: Jonathan M. Borwein (1951–2016) ⋮ Values of the Riemann zeta function and the Dirichlet beta function at positive integer points and multiple numerical series ⋮ Nonlinear Identities for Bernoulli and Euler Polynomials ⋮ Symmetric Tornheim double zeta functions ⋮ Derivatives and fast evaluation of the Tornheim zeta function ⋮ On the moments of the absorption time of Kingman's coalescent ⋮ Analytic Continuations of Character and Alternating Tornheim Zeta Functions ⋮ On Eulerian log-gamma integrals and Tornheim-Witten zeta functions ⋮ Computation and theory of extended Mordell-Tornheim-Witten sums ⋮ Unnamed Item ⋮ A Riesz-Fejér type inequality for harmonic functions ⋮ Rapidly convergent series representations of symmetric Tornheim double zeta functions ⋮ Computation and theory of Mordell-Tornheim-Witten sums. II.

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