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Volumn 77, Issue 5-6, 2005, Pages 630-652

Expansion of multiple integrals in linear forms

Author keywords

Beukers integral; Generalized polylogarithm; Linear form; Multiple integral; Rational function; Riemann zeta function

Indexed keywords


EID: 21644472657     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11006-005-0064-5     Document Type: Article
Times cited : (7)

References (13)
  • 1
    • 0000356657 scopus 로고
    • A note on the irrationality of ζ(2) and ζ(3)
    • F. Beukers, "A note on the irrationality of ζ(2) and ζ(3)," Bull. London Math. Soc., 11 (1979), no. 3, 268-272.
    • (1979) Bull. London Math. Soc. , vol.11 , Issue.3 , pp. 268-272
    • Beukers, F.1
  • 4
    • 0141574291 scopus 로고    scopus 로고
    • Perfectly balanced hypergeometric series and multiple integrals
    • V. V. Zudilin, "Perfectly balanced hypergeometric series and multiple integrals," Uspekhi Mat. Nauk [Russian Math. Surveys], 57 (2002), no. 4, 177-178.
    • (2002) Uspekhi Mat. Nauk [Russian Math. Surveys] , vol.57 , Issue.4 , pp. 177-178
    • Zudilin, V.V.1
  • 7
    • 0141737007 scopus 로고    scopus 로고
    • Integrals expressible as linear forms in generalized polylogarithms
    • S. A. Zlobin, "Integrals expressible as linear forms in generalized polylogarithms," Mat. Zametki [Math. Notes], 71 (2002), no. 5, 782-787.
    • (2002) Mat. Zametki [Math. Notes] , vol.71 , Issue.5 , pp. 782-787
    • Zlobin, S.A.1
  • 8
    • 0038729551 scopus 로고    scopus 로고
    • Formes linéaires en polyzêtas et intégrales multiples
    • S. Fischler, "Formes linéaires en polyzêtas et intégrales multiples," C. R. Acad. Sci. Paris Sér. I Math., 335 (2002), 1-4.
    • (2002) C. R. Acad. Sci. Paris Sér. I Math. , vol.335 , pp. 1-4
    • Fischler, S.1
  • 10
    • 0347467623 scopus 로고    scopus 로고
    • Shuffle algebra and polylogarithms
    • Hoang Ngoc Minh and M. Petitot, and J. van der Hoeven, "Shuffle algebra and polylogarithms," Discrete Math., 225 (2000), no. 1-3, 217-230.
    • (2000) Discrete Math. , vol.225 , Issue.1-3 , pp. 217-230
    • Minh, H.N.1    Petitot, M.2    Van Der Hoeven, J.3
  • 11
    • 0347755140 scopus 로고    scopus 로고
    • Identities for generalized polylogarithms
    • E. A. Ulanskii, "Identities for generalized polylogarithms," Mat. Zametki [Math. Notes], 73 (2003), no. 4, 613-624.
    • (2003) Mat. Zametki [Math. Notes] , vol.73 , Issue.4 , pp. 613-624
    • Ulanskii, E.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.