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Original Articles

Empirically Determined Apéry-Like Formulae for ζ(4n+3)

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Pages 181-194 | Published online: 03 Apr 2012

REFERENCES

  • Bailey , W. N. 1935 . Generalized hypergeometric series Cambridge : Cambridge Univ. Press. . [Bailey 1935], Cambridge Tracts in Mathematics and Mathematical Physics 32, Reprinted by Stechert-Hafher, New York, 1964
  • Gessel , I. and Stanton , D. 1982 . “Strange evaluations of hypergeometric series” . Siam J. Math. Anal. , 13 ( 2 ) : 295 – 308 . [Gessel and Stanton 1982]
  • Graham , R. L. , Knuth , D. E. and Patashnik , O. 1989 . Concrete mathematics Reading , MA : Addison-Wesley Publishing Co. . [Graham et al. 1989], A foundation for computer science
  • Hjortnaes , M. M. “Overføring av rekken Σ ∞ k= (l/k3) til et bestemt integral” . Proc. 12th Cong. Scand. Maths . 1953 , Lund . Lund. . [Hjortnaes 1954]
  • Karatsuba , E. A. 1993 . “Fast calculation of ζ(3)” . Problemy Peredachi Informatsii , 29 ( 1 ) : 68 – 73 . [Karatsuba 1993], In Russian; translation in Problems Inform. Transmission 29:1 (1993), 58–62
  • Koecher , M. 1980 . Math. Intelligencer , 2 : 62 – 64 . [Koecher 1980], Letter to the editor
  • Koecher , M. 1987 . Klassische elementare Analysis Basel : Birkhäuser. . [Koecher 1987]
  • Krattenthaler , C. 1996 . “A new matrix inverse” . Proc. Amer. Math. Soc. , 124 ( 1 ) : 47 – 59 . [Krattenthaler 1996]
  • Petkovšek , M. , Wilf , H. S. and Zeilberger , D. 1996 . A = B Wellesley , MA : A K Peters Ltd. . [Petkovšek et al. 1996]
  • Slater , L. J. 1966 . Generalized hypergeometric functions Cambridge : Cambridge Univ. Press. . [Slater 1966]

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