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On poly-cosecant numbers

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Publication:5113817
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zbMath1476.11040arXiv1907.13441MaRDI QIDQ5113817

Hirofumi Tsumura, Masanobu Kaneko, Maneka Pallewatta

Publication date: 17 June 2020

Full work available at URL: https://arxiv.org/abs/1907.13441


zbMATH Keywords

polylogarithmmultiple zeta valuemultiple zeta functionpoly-Bernoulli number


Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Zeta and (L)-functions: analytic theory (11M99) Multiple Dirichlet series and zeta functions and multizeta values (11M32)


Related Items (1)

Symmetrized poly-Bernoulli numbers and combinatorics


Uses Software

  • OEIS


Cites Work

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  • On generalized poly-Bernoulli numbers and related \(L\)-functions
  • Higher-order tangent and secant numbers
  • Poly-Bernoulli numbers
  • Zeta functions connecting multiple zeta values and poly-Bernoulli numbers
  • Applications of the cosecant and related numbers
  • MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS
  • Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
  • Generalized cosecant numbers and trigonometric inverse power sums
  • Generalized Cosecant Numbers and the Hurwitz Zeta Function
  • Combinatorial properties of poly-Bernoulli relatives
  • Bernoulli Numbers and Zeta Functions


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