메뉴 건너뛰기




Volumn 10, Issue 1, 2001, Pages 25-34

Central binomial sums, multiple clausen values, and zeta values

Author keywords

Apery sums; Binomial sums; Clausen's function; Log sine integrals; Multiple Clausen values; Multiple zeta values; Polylogarithms

Indexed keywords


EID: 0035633684     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2001.10504426     Document Type: Article
Times cited : (72)

References (17)
  • 2
    • 78650927013 scopus 로고    scopus 로고
    • Experimental mathematics: Recent developments and future outlook
    • edited by B. Engquist and W. Schmid, Springer, New York
    • D. H. Bailey and J. M. Borwein, "Experimental mathematics: recent developments and future outlook", in Mathematics unlimited: 2001 and beyond, edited by B. Engquist and W. Schmid, Springer, New York, 2000.
    • (2000) Mathematics Unlimited: 2001 and Beyond
    • Bailey, D.H.1    Borwein, J.M.2
  • 4
    • 0035595042 scopus 로고    scopus 로고
    • Parallel integer relation detection: Techniques and applications
    • D. H. Bailey and D. J. Broadhurst, "Parallel integer relation detection: techniques and applications", Math. Compo (2001). See http://arxiv.org/abs/math.NA/9905048.
    • (2001) Math. Compo
    • Bailey, D.H.1    Broadhurst, D.J.2
  • 6
    • 0039264694 scopus 로고    scopus 로고
    • Applications of integer relation algorithms
    • J. M. Borwein and P. Lisonek," Applications of integer relation algorithms", Discrete Math. 217:1-3 (2000), 65-82.
    • (2000) Discrete Math. , vol.217 , Issue.1-3 , pp. 65-82
    • Borwein, J.M.1    Lisonek, P.2
  • 7
    • 13744258520 scopus 로고    scopus 로고
    • Evaluations of k-fold Euler/Zagier sums: A compendium of results for arbitrary k
    • RP 5
    • J. M. Borwein, D. M. Bradley, and D. J. Broadhurst, "Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k", Electron. J. Combin. 4:2 (1997), RP 5, 21 pp.
    • (1997) Electron. J. Combin , vol.4 , Issue.2 , pp. 21
    • Borwein, J.M.1    Bradley, D.M.2    Broadhurst, D.J.3
  • 9
    • 0034273101 scopus 로고    scopus 로고
    • Computational strategies for the Riemann zeta function
    • J. M. Borwein, D. M. Bradley, and R. E. Crandall, "Computational strategies for the Riemann zeta function", J. Comput. Appl. Math. 121:1-2 (2000), 247-296.
    • (2000) J. Comput. Appl. Math , vol.121 , Issue.1-2 , pp. 247-296
    • Borwein, J.M.1    Bradley, D.M.2    Crandall, R.E.3
  • 12
    • 0000377345 scopus 로고    scopus 로고
    • Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity
    • D. J. Broadhurst, "Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity", Eur. Phys. J. C Part. Fields 8:2 (1999), 313-333.
    • (1999) Eur. Phys. J. C Part. Fields , vol.8 , Issue.2 , pp. 313-333
    • Broadhurst, D.J.1
  • 13
    • 0039856348 scopus 로고
    • A sixteenth-order polylogarithm ladder
    • H. Cohen, L. Lewin, and D. Zagier, "A sixteenth-order polylogarithm ladder", Experiment. Math. 1:1 (1992), 25-34.
    • (1992) Experiment. Math , vol.1 , Issue.1 , pp. 25-34
    • Cohen, H.1    Lewin, L.2    Zagier, D.3
  • 14
    • 0039264690 scopus 로고    scopus 로고
    • Some representations of (3)
    • B. Ghusayni, "Some representations of (3)", Missouri J. Math. Sci. 10:3 (1998), 169-175.
    • (1998) Missouri J. Math. Sci , vol.10 , Issue.3 , pp. 169-175
    • Ghusayni, B.1
  • 16
    • 0004022053 scopus 로고
    • edited by L. Lewin, Math. Surv. Monographs 37, Amer. Math. Soc., Providence, RI
    • L. Lewin (editor), Structural properties of polylogarithms, edited by L. Lewin, Math. Surv. Monographs 37, Amer. Math. Soc., Providence, RI, 1991.
    • (1991) Structural Properties of Polylogarithms
    • Lewin, L.1
  • 17
    • 0034688576 scopus 로고    scopus 로고
    • Harmonic polylogarithms
    • E. Remiddi and J. A. M. Vermaseren, "Harmonic polylogarithms", Internat. J. Modern Phys. A 15:5 (2000), 725-754. Preprint available at www.arxiv.org/abs/hep-ph/9905237.
    • (2000) Internat. J. Modern Phys. A , vol.15 , Issue.5 , pp. 725-754
    • Remiddi, E.1    Vermaseren, J.A.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.