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Volumn 64, Issue 1, 2001, Pages 93-106

Ramanujans class invariant λn and a new class of series for 1/π

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EID: 0001843718     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0024610701002241     Document Type: Article
Times cited : (46)

References (14)
  • 2
    • 0002381445 scopus 로고
    • On a certain theta function in a letter of Ramanujan from Fitzroy House
    • B. C. BERNDT, 'On a certain theta function in a letter of Ramanujan from Fitzroy House', Ganita 43 (1992) 33-43.
    • (1992) Ganita , vol.43 , pp. 33-43
    • Berndt, B.C.1
  • 4
    • 84975992613 scopus 로고
    • Ramanujans explicit values for the classical theta-function
    • B. C. BERNDT and H. H. CHAN, 'Ramanujan's explicit values for the classical theta-function', Mathematika 42 (1995) 278-294.
    • (1995) Mathematika , vol.42 , pp. 278-294
    • Berndt, B.C.1    Chan, H.H.2
  • 5
    • 84968486271 scopus 로고
    • Ramanujans theories of elliptic functions to alternative bases
    • B. C. BERNDT, S. BHARGAVA and F. G. GARVAN, 'Ramanujan's theories of elliptic functions to alternative bases', Trans. Amer. Math. Soc. 347 (1995) 4163-4244.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 4163-4244
    • Berndt, B.C.1    Bhargava, S.2    Garvan, F.G.3
  • 8
    • 84968476480 scopus 로고
    • A cubic counterpart of Jacobis identity and the AGM
    • J. M. BORWEIN and P. B. BORWEIN, 'A cubic counterpart of Jacobi's identity and the AGM', Trans. Amer. Math. Soc. 323 (1991) 691-701.
    • (1991) Trans. Amer. Math. Soc. , vol.323 , pp. 691-701
    • Borwein, J.M.1    Borwein, P.B.2
  • 11
    • 0013532021 scopus 로고    scopus 로고
    • Cubic modular equations and new Ramanujan-type series for 1/π
    • H. H. CHAN and W.-C. LIAW, 'Cubic modular equations and new Ramanujan-type series for 1/π', Pacific J. Math. 192 (2000) 219-238.
    • (2000) Pacific J. Math. , vol.192 , pp. 219-238
    • Chan, H.H.1    Liaw, W.-C.2
  • 12
    • 0034364872 scopus 로고    scopus 로고
    • Some Eisenstein series identities
    • Z. G. LIU, 'Some Eisenstein series identities', J. Number Theory 85 (2000) 231-252.
    • (2000) J. Number Theory , vol.85 , pp. 231-252
    • Liu, Z.G.1
  • 13
    • 0001556554 scopus 로고
    • Modular equations and approximations to π
    • S. RAMANUJAN, 'Modular equations and approximations to π', Quart. J. Math. Oxford Ser. (2) 45 (1914) 350-372.
    • (1914) Quart. J. Math. Oxford Ser. (2) , vol.45 , pp. 350-372
    • Ramanujan, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.