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Original Articles

On the Evaluation of Euler Sums

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Pages 275-285 | Published online: 03 Apr 2012

REFERENCES

  • Apostol , T. 1976 . Introduction to Analytic Number Theory New York : Springer. . [Apostol 1976]
  • Apostol , T. and Vu , T. 1984 . “Dirichlet series related to the Riemann zeta function” . J. Number Theory , 19 : 85 – 102 . [Apostol and Vu 1984]
  • Batut , C. , Bernardi , D. , Cohen , H. and Olivier , M. User's Guide to Pari-GP. [Batut et al. 1992], This manual is part of the program distribution, available by anonymous ftp from the host pari@ceremab. u-bordeaux.fr
  • Borwein , D. , Borwein , J. and Girgensohn , R. “Explicit evaluation of Euler sums” [Borwein et al. 1994], to appear in Proc. Edinburgh Math. Soc.
  • Bailey , D. , Borwein , J. and Girgensohn , R. 1994 . “Experimental evaluation of Euler sums” . Experimental Mathematics , 3 : 17 – 30 . [Bailey et al. 1994]
  • Erdélyi , A. 1953–55 . Higher Transcendental Functions New York : McGraw-Hill. . [Erdélyi 1953]
  • Markett , C. 1994 . “Triple sums and the Riemann zeta function” . J. Number Theory , 48 : 113 – 132 . [Markett 1994]
  • Zagier , D. “Values of zeta functions and their applications,” [Zagier 1994], preprint (Max-Planck Institut)

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