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Leonhard Euler (1707-1783) and the computational aspects of some zeta-function series
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참고문헌 (37)
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- "Explicit evaluation of Euler and related sums", 10(1), pp.51~70 (2005)
- J. Choi, "Multiple gamma and related functions", 134(2-3), pp.515~533 (2003)
- D. Cvijovic, "New rapidly convergent series representations for (2n +1)", 125(5), pp.1263~1271 (1997)
- A. Dabrowski, "A note on values of the Riemann zeta function at positive odd integers", 14(2), pp.199~207 (1996)
- A. Erdelyi, "on notes left by Harry Bateman. McGraw-HillBook Company" (1953), Inc.
- "On the zeta function values (2k + 1) , k = 1 ;2;:", 25(3), pp.1003~1012 (1995)
- "Some relationships between the generalizedApostol-Bernoulli polynomials and Hurwitz-Lerch zeta functions", 17(11), pp.803~815 (2006)
- "Some integrals of the arctangent function", (102), pp.447~ (1968)
- "A calculus of series rearrangements", pp.121~, Carnegie-Mellon Univ. 151. AcademicPress
- "A Table of Series and Products" (1975), Prentice-Hall
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- "Some expansion formulas for a class ofgeneralized Hurwitz-Lerch zeta functions", 17(11), pp.817~827 (2006)
- "Formulas and theorems for the specialfunctions of mathematical physics", Band 52 Springer-Verlag New York Inc.
- "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
- "topological eld theories and theRiemann zeta function at s = 3", Plenum
- "Notes on Riemann's -function", pp.169~ (1934)
- "A unied presentation of certain classes of series of the Riemann zetafunction" (1988), Riv. Mat. Univ. Parma
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- "Further series representations for (2n + 1)", 97, pp.1~5 (1998)
- "Some rapidly converging series for (2n + 1)", 127(2), pp.385~396 (1999)
- "Some simple algorithms for the evaluations and representations of the Riemannzeta function at positive integer arguments", 246(2), pp.331~351 (2000)
- "Series associated with the zeta and related functions" (2001), Kluwer Academic Publishers, Dordrecht
- "Adamchik,Some denite integrals associatedwith the Riemann zeta function", 19(3), pp.831~846 (2000)
- "A certain class of rapidly convergent series repre-sentations for (2n + 1)", 118(1-2), pp.323~335 (2000)
- "New rapidly convergent series representations for (2n + 1) , L(2n;) andL(2n + 1 ;)", 4(7), pp.17~24 (2000)
- "Inductive construction of rapidly convergent series representations for", 80(9), pp.1141~1173 (2003)
- "The theory of the Riemann zeta-function" (1986), The Claren-don Press Oxford University Press
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관련 논문AI추천
The values of an Euler sum at the negative integers and a relation to a certain convolution of Bernoulli numbersH. Gopalkrishna Gadiyar, Khristo N. Boyadzhiev, R. Padma대한수학회 · 대한수학회보2008 · 제45권 제2호Closed-form evaluations of certain cosecant integrals and associated series involving the Riemann zeta functionD. Cvijovic, H. M. Srivastava장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제1호Euler sums evaluatable from integrals최준상, Myungho Jung, Young Joon Cho대한수학회 · 대한수학회논문집2004 · 제19권 제3호Notes on some identities involving the Riemann Zeta function옥보명, 최준상, Hyerim Lee대한수학회 · 대한수학회논문집2002 · 제17권 제1호수학사적 관점에서 오일러 및 베르누이 수와 리만 제타함수에 관한 탐구김태균, 장이채한국수학사학회 · 한국수학사학회지2007 · 제20권 제4호Certain summation formulas due to Ramanujan and their generalizations최준상, Arjun K. Rathie, Rachana Mathur, Shaloo Malani대한수학회 · 대한수학회보2005 · 제42권 제3호
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