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Ogg, Andrew P.

Hyperelliptic modular curves. (English) Zbl 0314.10018

Bull. Soc. Math. Fr. 102, 449-462 (1974).
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Cited in 8 Reviews
Cited in 103 Documents

MSC:

11F03 Modular and automorphic functions
14H45 Special algebraic curves and curves of low genus
11F27 Theta series; Weil representation; theta correspondences
14H25 Arithmetic ground fields for curves
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References:

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[8] NEWMAN (M.) . - Construction and applications of a class of modular functions , Proc. London math. Soc., t. 7, 1957 , p. 334-350. MR 19,953c | Zbl 0097.28701 · Zbl 0097.28701 · doi:10.1112/plms/s3-7.1.334
[9] NEWMAN (M.) . - Conjugacy, genus, and class numbers , Math. Annalen, t. 196, 1972 , p. 198-217. MR 47 #135 | Zbl 0221.10030 · Zbl 0221.10030 · doi:10.1007/BF01428049
[10] OGG (A.) . - Rational points on certain elliptic modular curves ; “Analytic number theory”, p. 221-231. - Providence, American mathematical Society, 1973 (Proceedings of Symposia in pure Mathematics, 24). MR 49 #2743 | Zbl 0273.14008 · Zbl 0273.14008
[11] OGG (A.) . - Diophantine equations and modular forms , Talk at the November 1973 meeting of the AMS in Tucson, to appear in the Bulletin AMS. Article | Zbl 0316.14012 · Zbl 0316.14012 · doi:10.1090/S0002-9904-1975-13623-8
[12] SCHOENEBERG (B.) . - Über die Weierstrasspunkte in den Körpern der elliptischen Modulfunktionen , Abh. Math. Sem. Hamburg, t. 17, 1951 , p. 104-111. MR 13,439c | Zbl 0042.31902 · Zbl 0042.31902 · doi:10.1007/BF02950745
[13] SHIMURA (G.) . - Introduction to the arithmetic theory of automorphic functions . - Tokyo and Princeton, Shoten, 1971 . Zbl 0221.10029 · Zbl 0221.10029
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