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On values of the higher derivatives of the Barnes zeta function at non-positive integers

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Publication:2134231
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DOI10.2996/kmj/kmj45105zbMath1489.11138arXiv2011.08667OpenAlexW3102689414MaRDI QIDQ2134231

Miho Aoki, Shinpei Sakane

Publication date: 6 May 2022

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.08667


zbMATH Keywords

Hurwitz zeta functionRiemann zeta functionmultiple gamma functionspecial values of zeta functionsBarnes zeta function


Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other Dirichlet series and zeta functions (11M41) Hurwitz and Lerch zeta functions (11M35)



Uses Software

  • DLMF


Cites Work

  • Formulas for Higher Derivatives of the Riemann Zeta Function
  • On the Hurwitz zeta-function
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