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Volumn 160, Issue 1-2, 2003, Pages 77-94

Cubic theta functions

Author keywords

Cubic theta functions; Dedekind eta function; Modular transformation

Indexed keywords

MATHEMATICAL TRANSFORMATIONS;

EID: 0142228962     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(03)00614-9     Document Type: Article
Times cited : (17)

References (15)
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    • Berndt B.C. Bhargava S. Garvan F.G. Ramanujan's theories of elliptic functions to alternative bases Trans. Amer. Math. Soc. 347 11 1995 4163-4244
    • (1995) Trans. Amer. Math. Soc. , vol.347 , Issue.11 , pp. 4163-4244
    • Berndt, B.C.1    Bhargava, S.2    Garvan, F.G.3
  • 4
    • 0142254767 scopus 로고
    • Unification of the cubic analogues of the Jacobian theta-function
    • Bhargava S. Unification of the cubic analogues of the Jacobian theta-function J. Math. Anal. Appl. 193 2 1995 543-558
    • (1995) J. Math. Anal. Appl. , vol.193 , Issue.2 , pp. 543-558
    • Bhargava, S.1
  • 5
    • 84968476480 scopus 로고
    • A cubic counterpart of Jacobi's identity and the AGM
    • Borwein J.M. Borwein P.B. A cubic counterpart of Jacobi's identity and the AGM Trans. Amer. Math. Soc. 323 2 1991 691-701
    • (1991) Trans. Amer. Math. Soc. , vol.323 , Issue.2 , pp. 691-701
    • Borwein, J.M.1    Borwein, P.B.2
  • 8
    • 0142161679 scopus 로고    scopus 로고
    • The development of elliptic functions according to Ramanujan and Venkatachaliengar
    • C. Adiga, D.D. Somashekara (Eds.), University of Mysore, India, Available online at
    • S. Cooper, The development of elliptic functions according to Ramanujan and Venkatachaliengar, in: C. Adiga, D.D. Somashekara (Eds.), Proceedings of The International Conference on the Works of Srinivasa Ramanujan, University of Mysore, India, 2001, pp. 81-99. Available online at http://www.massey.ac.nz/~wwiims/research/letters/volume1number1/
    • (2001) Proceedings of the International Conference on the Works of Srinivasa Ramanujan , pp. 81-99
    • Cooper, S.1
  • 9
    • 0141808554 scopus 로고    scopus 로고
    • 1 summation formula, q-Series with Applications to Combinatorics, Number Theory and Physics
    • B.C. Berndt, K. Ono (Eds.), American Mathematical Society, Providence, RI
    • 1 summation formula, q-Series with Applications to Combinatorics, Number Theory and Physics, in: B.C. Berndt, K. Ono (Eds.), Contemporary Mathematics, No. 291, American Mathematical Society, Providence, RI, 2001, pp. 115-137.
    • (2001) Contemporary Mathematics , vol.291 , pp. 115-137
    • Cooper, S.1
  • 10
    • 0000246655 scopus 로고
    • Cubic analogues of the Jacobian theta functions θ(z,q)
    • Hirschhorn M. Garvan F. Borwein J. Cubic analogues of the Jacobian theta functions θ(z,q) Canad. J. Math. 45 4 1993 673-694
    • (1993) Canad. J. Math. , vol.45 , Issue.4 , pp. 673-694
    • Hirschhorn, M.1    Garvan, F.2    Borwein, J.3
  • 11
    • 0001504481 scopus 로고
    • On certain arithmetical functions
    • Ramanujan S. On certain arithmetical functions Trans. Camb. Phil. Soc. 22 9 1916 159-184
    • (1916) Trans. Camb. Phil. Soc. , vol.22 , Issue.9 , pp. 159-184
    • Ramanujan, S.1
  • 12
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    • Tata Institute of Fundamental Research, Bombay
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  • 13
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    • Collected Papers, AMS Chelsea Publishing, Providence, Rhode Island
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    • (2000)
    • Ramanujan, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.