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Jackson's integral of the Hurwitz zeta function

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Publication:997540
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DOI10.1007/BF03031427zbMath1196.11120OpenAlexW1986337736MaRDI QIDQ997540

Masato Wakayama, Katsuhisa Mimachi, Nobushige Kurokawa

Publication date: 7 August 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03031427

zbMATH Keywords

Lerch's formulaDouble sine functionHurwitz's zetaJackson's integralRaabe's integral formula


Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)


Related Items

Jackson's integral of multiple Hurwitz-Lerch zeta functions and multiple gamma functions, Generalized log sine integrals and the Mordell-Tornheim zeta values



Cites Work

  • Unnamed Item
  • Gamma and sine functions for Lie groups and period integrals
  • A \(q\)-logarithmic analogue of Euler's sine integral
  • On some integrals involving the Hurwitz zeta function. I
  • Shintani-Barnes zeta and gamma functions
  • QUANTUM DEFORMATIONS OF CATALAN’S CONSTANT, MAHLER’S MEASURE AND THE HÖLDER–SHINTANI DOUBLE SINE FUNCTION
  • Multiple sine functions
  • Quantum calculus
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