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Leonhard Euler (1707-1783) and the computational aspects of some zeta-function series

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참고문헌 (37)

  1. "Series representations for some math-ematical constants", 320(1), pp.145~162 (2006)
  2. "Computational strategies for theRiemann zeta function", 121(1-2), pp.247~296 (2000)
  3. "Some families of series representations for the Rie-mann (3)", 33(3-4), pp.179~197 (1998)
  4. "Series involving the zeta function and multiplegamma functions", 159(2), pp.509~537 (2004)
  5. "Certain families of series associated with the Hurwitz-Lerch zeta function", 170(1), pp.399~409 (2005)
  6. "Explicit evaluation of Euler and related sums", 10(1), pp.51~70 (2005)
  7. J. Choi, "Multiple gamma and related functions", 134(2-3), pp.515~533 (2003)
  8. D. Cvijovic, "New rapidly convergent series representations for (2n +1)", 125(5), pp.1263~1271 (1997)
  9. A. Dabrowski, "A note on values of the Riemann zeta function at positive odd integers", 14(2), pp.199~207 (1996)
  10. A. Erdelyi, "on notes left by Harry Bateman. McGraw-HillBook Company" (1953), Inc.
  11. "On the zeta function values (2k + 1) , k = 1 ;2;:", 25(3), pp.1003~1012 (1995)
  12. "Some relationships between the generalizedApostol-Bernoulli polynomials and Hurwitz-Lerch zeta functions", 17(11), pp.803~815 (2006)
  13. "Some integrals of the arctangent function", (102), pp.447~ (1968)
  14. "A calculus of series rearrangements", pp.121~, Carnegie-Mellon Univ. 151. AcademicPress
  15. "A Table of Series and Products" (1975), Prentice-Hall
  16. "Sums involving the Hurwitz zeta func-tion", 5(1), pp.5~19 (2001)
  17. "Some integral andasymptotic formulas associated with the Hurwitz zeta function", 154(3), pp.641~664 (2004)
  18. "Some expansion formulas for a class ofgeneralized Hurwitz-Lerch zeta functions", 17(11), pp.817~827 (2006)
  19. "Formulas and theorems for the specialfunctions of mathematical physics", Band 52 Springer-Verlag New York Inc.
  20. "topological eld theories and the Rie-mann Zeta function at s = 3 Proceedings of a NATO Advanced Research Workshop held at the Isaac Newton In-stitute at Cambridge", pp.279~12 288, Plenum Press
  21. "topological eld theories and theRiemann zeta function at s = 3", Plenum
  22. "Notes on Riemann's -function", pp.169~ (1934)
  23. "A unied presentation of certain classes of series of the Riemann zetafunction" (1988), Riv. Mat. Univ. Parma
  24. "Sums of certain series of the Riemann zeta function", pp.140~ (1988)
  25. "Certain families of rapidly convergent series representations for (2n + 1)", 6, pp.1~6 (1997)
  26. "Further series representations for (2n + 1)", 97, pp.1~5 (1998)
  27. "Some rapidly converging series for (2n + 1)", 127(2), pp.385~396 (1999)
  28. "Some simple algorithms for the evaluations and representations of the Riemannzeta function at positive integer arguments", 246(2), pp.331~351 (2000)
  29. "Series associated with the zeta and related functions" (2001), Kluwer Academic Publishers, Dordrecht
  30. "Adamchik,Some denite integrals associatedwith the Riemann zeta function", 19(3), pp.831~846 (2000)
  31. "A certain class of rapidly convergent series repre-sentations for (2n + 1)", 118(1-2), pp.323~335 (2000)
  32. "New rapidly convergent series representations for (2n + 1) , L(2n;) andL(2n + 1 ;)", 4(7), pp.17~24 (2000)
  33. "Inductive construction of rapidly convergent series representations for", 80(9), pp.1141~1173 (2003)
  34. "The theory of the Riemann zeta-function" (1986), The Claren-don Press Oxford University Press
  35. "On evaluation of the Dirichlet series at positive integers by q-calculation", pp.391~ (1994)
  36. "A course of modern analysis" (1996), Cambridge University Press
  37. "A proof Burnside's formula for log Messenger of Math.52", pp.93~ (1922)

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