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Volumn 51, Issue 184, 1988, Pages 787-807

Fricke's two-valued modular equations

Author keywords

Modular equation; Singular moduli; Theta functions

Indexed keywords


EID: 84966243818     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1988-0935079-4     Document Type: Article
Times cited : (6)

References (20)
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  • 3
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    • Modular invariants expressible in terms of quadratic and cubic irrationalities
    • W. E. H. Berwick, "Modular invariants expressible in terms of quadratic and cubic irrationalities, " Proc. London Math. Soc, v. 28, 1927, pp. 53-69.
    • (1927) Proc. London Math. Soc , vol.28 , pp. 53-69
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  • 4
    • 84934963141 scopus 로고
    • Some calculations of modular relations
    • Springer-Verlag, Berlin and New York
    • B. BIRCH, "Some calculations of modular relations, " Modular Functions of One Variable I, Lecture Notes in Math., vol. 320, Springer-Verlag, Berlin and New York, 1973, pp. 175-176.
    • (1973) Modular Functions of One Variable I, Lecture Notes in Math , vol.320 , pp. 175-176
    • Birch, B.1
  • 10
    • 84919072370 scopus 로고
    • Explicit construction of the Hubert class fields of imaginary quadratic fields with class numbers 7 and 11, " (Eurosam 84)
    • Springer-Verlag, Berlin and New York
    • E. KALTOFEN & N. Yui, "Explicit construction of the Hubert class fields of imaginary quadratic fields with class numbers 7 and 11, " (Eurosam 84), Lecture Notes in Comput. Sei., vol. 174, Springer-Verlag, Berlin and New York, 1984, pp. 310-320.
    • (1984) Lecture Notes in Comput. Sei. , vol.174 , pp. 310-320
    • Kaltofen, E.1    Yui, N.2
  • 11
    • 0010833670 scopus 로고
    • The modular curve Xrj(39) and rational isogeny
    • M. A. KENKU, "The modular curve Xrj(39) and rational isogeny, " Math. Proc. Cambridge Philos. Soc, v. 85, 1979, pp. 21-23.
    • (1979) Math. Proc. Cambridge Philos. Soc , vol.85 , pp. 21-23
    • Kenku, M.A.1
  • 14
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    • Arithmetic of Weil curves
    • B. MAZUR & P. SWINNERTONDYER, "Arithmetic of Weil curves, " Invent. Math., v. 25, 1974, pp. 1-61.
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    • Mazur, B.1    Swinnertondyer, P.2
  • 15
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    • Construction and application of a class of modular functions
    • M. NEWMAN, "Construction and application of a class of modular functions, " Proc. London Math. Soc, v. 7, 1957, pp. 334-350.
    • (1957) Proc. London Math. Soc , vol.7 , pp. 334-350
    • Newman, M.1
  • 16
    • 0041000697 scopus 로고
    • Conjugacy, genus, and class numbers
    • M. NEWMAN, "Conjugacy, genus, and class numbers, " Math. Ann., v. 196, 1972, pp. 198-217.
    • (1972) Math. Ann , vol.196 , pp. 198-217
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  • 17
    • 0001673442 scopus 로고
    • Hyperelliptic modular curves
    • A. P. Ogg, "Hyperelliptic modular curves, " Bull. Soc. Math. France, v. 102, 1974, pp. 107- 148.
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  • 19
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    • Les points rationnels de X0(37)
    • Paris
    • J. VÉLU, "Les points rationnels de X0(37), " Bull. Soc. Math. France, Mém. 37, Paris, 1974, pp. 169-179.
    • (1974) Bull. Soc. Math. France, Mém , vol.37 , pp. 169-179
    • Vélu, J.1
  • 20
    • 84961472849 scopus 로고
    • Explicit form of the modular equation
    • N. YUI, "Explicit form of the modular equation, " J. Reme Angew. Math., v. 299/300, 1978, pp. 185-200.
    • (1978) J. Reme Angew. Math , vol.299 , Issue.300 , pp. 185-200
    • Yui, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.