Moment integrals of \(1/\sin t\) and related zeta-values

DOI10.1007/S11139-013-9467-1zbMath1314.11053OpenAlexW2111922390MaRDI QIDQ744842

Makoto Minamide, Jun Furuya, Yoshio Tanigawa

Publication date: 26 September 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-013-9467-1

zbMATH Keywords

Bernoulli numbersCatalan constantmoment integralDirichlet \(L\)-valuesmultiple \(L\)-values

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• A generalization of the duality and sum formulas on the multiple zeta values
• On some integrals involving the Hurwitz zeta function. I
• On multiple \(L\)-values
• On some integrals involving the Hurwitz zeta function. II
• On the parity conjecture for multiple \(L\)-values of conductor four
• Convolution of Riemann zeta-value
• Analytic continuation of multiple zeta-functions and their values at non-positive integers
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions

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