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Volumn 1, Issue 1, 1997, Pages 75-90

On the Ramanujan-Göllnitz-Gordon continued fraction

Author keywords

Continued fraction; Modular equations; Singular moduli; Units

Indexed keywords


EID: 0040342751     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009767205471     Document Type: Article
Times cited : (43)

References (16)
  • 1
    • 0005276820 scopus 로고
    • On q-difference equations for certain well-poised basic hypergeometric series
    • G.E. Andrews, "On q-difference equations for certain well-poised basic hypergeometric series," Quart. J. Math. (Oxford) 19 (1968), 433-447.
    • (1968) Quart. J. Math. (Oxford) , vol.19 , pp. 433-447
    • Andrews, G.E.1
  • 2
    • 0005213458 scopus 로고
    • An introduction to Ramanujan's 'lost' notebook
    • G.E. Andrews, "An introduction to Ramanujan's 'lost' notebook," Amer. Math. (Monthly) 86 (1979), 89-108.
    • (1979) Amer. Math. (Monthly) , vol.86 , pp. 89-108
    • Andrews, G.E.1
  • 4
    • 21444444355 scopus 로고    scopus 로고
    • Explicit evaluations of the Rogers-Ramanujan continued fraction
    • to appear
    • B.C. Berndt, H.H. Chan, and L.-C. Zhang, "Explicit evaluations of the Rogers-Ramanujan continued fraction," J. Reine Angew. Math. (to appear).
    • J. Reine Angew. Math.
    • Berndt, B.C.1    Chan, H.H.2    Zhang, L.-C.3
  • 6
    • 84971142105 scopus 로고
    • Weber's class invariants
    • B.J. Birch, "Weber's class invariants," Mathematika 16 (1969), 283-294.
    • (1969) Mathematika , vol.16 , pp. 283-294
    • Birch, B.J.1
  • 7
    • 21844520107 scopus 로고
    • On Ramanujan's cubic continued fraction
    • H.H. Chan, "On Ramanujan's cubic continued fraction," Acta Arith. 73 (1995), 343-355.
    • (1995) Acta Arith. , vol.73 , pp. 343-355
    • Chan, H.H.1
  • 8
    • 0003484756 scopus 로고
    • Wiley, New York
    • 2, Wiley, New York, 1989.
    • (1989) 2
    • Cox, D.A.1
  • 9
    • 0011119616 scopus 로고
    • Die Klassenkörper der komplexes multiplication
    • Stuttgort
    • 2, Heft 10, Teil II (Stuttgort) 1958.
    • (1958) 2 , Issue.10 TEIL II
    • Deuring, M.1
  • 10
    • 0001147296 scopus 로고
    • Partitionen mit Differenzenbedingungen
    • H. Göllnitz, "Partitionen mit Differenzenbedingungen," J. Reine Angew. Math. 225 (1967), 154-190.
    • (1967) J. Reine Angew. Math. , vol.225 , pp. 154-190
    • Göllnitz, H.1
  • 11
    • 84972507660 scopus 로고
    • Some continued fractions of the Rogers-Ramanujan type
    • B. Gordon, "Some continued fractions of the Rogers-Ramanujan type," Duke Math. J. 32 (1965), 741-748.
    • (1965) Duke Math. J. , vol.32 , pp. 741-748
    • Gordon, B.1
  • 13
    • 0004220292 scopus 로고
    • (2 volumes), Tata Institute of Fundamental Research, Bombay
    • S. Ramanujan, Notebooks (2 volumes), Tata Institute of Fundamental Research, Bombay, 1957.
    • (1957) Notebooks
    • Ramanujan, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.