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Three Symmetric Double Series by Telescoping

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Publication:6042559
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DOI10.1080/00029890.2023.2176669zbMath1524.11150OpenAlexW4321501261MaRDI QIDQ6042559

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Publication date: 11 May 2023

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2023.2176669



Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (zeta (s)) and (L(s, chi)) (11M06)





Cites Work

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  • The method of creative telescoping
  • A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
  • Multivariable connected sums and multiple polylogarithms
  • Telescopic approach to a formula of \(_2F_1\)-series by Gosper and Ebisu
  • Telescopic generalizations for two 3 F 2-series identities
  • Telescoping, rational-valued series, and zeta functions
  • On an Intriguing Integral and Some Series Related to ζ(4)
  • New families of double hypergeometric series for constants involving ${1}/{\pi ^2}$




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