Evaluations of multiple Dirichlet \(L\)-values via symmetric functions

DOI10.1016/j.jnt.2009.04.011zbMath1176.11043arXiv0712.1639OpenAlexW2107122319MaRDI QIDQ838447

Yoshinori Yamasaki

Publication date: 26 August 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1639

zbMATH Keywords

Bernoulli numberssymmetric functionsEuler numbersDirichlet \(L\)-functionsmultiple \(L\)-valuescentral limit valuesmultiple \(q\)-\(L\)-values

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41)

Related Items (9)

On Schur multiple zeta functions: a combinatoric generalization of multiple zeta functions ⋮ Infinite products involving Dirichlet characters and cyclotomic polynomials ⋮ A variation of multiple $L$-values arising from the spectral zeta function of the non-commutative harmonic oscillator ⋮ The tangent symmetry of the multiple zeta-function ⋮ Evaluation of multiple zeta values for various limiting processes at non-positive integers ⋮ The Bowman-Bradley theorem for multiple zeta-star values ⋮ Applications of hybrid universality to multivariable zeta-functions ⋮ A study on multiple zeta values from the viewpoint of zeta-functions of root systems ⋮ Multiple zeta values and zeta-functions of root systems

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