Generators and equations for modular function fields of principal congruence subgroups

• Autorzy: Nobuhiko Ishida
• Języki publikacji: EN

Kategorie tematyczne

• 11G30: Curves of arbitrary genus or genus ≠ 1 over global fields
• 11F03: Modular and automorphic functions
• 14H05: Algebraic functions; function fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 85
• Numer: 3
• Strony: 197-207

Daty

wydano

1998

otrzymano

1997-05-05

Twórcy

autor

Nobuhiko Ishida

• Graduate School of Science, College of Integrated Arts and Sciences, Osaka Prefecture University, 1-1 Gakuen-cho, Sakai-city, Osaka 599-8531, Japan

Bibliografia

• [1] N. Ishida and N. Ishii, The equations for modular function fields of principal congruence subgroups of prime level, Manuscripta Math. 90 (1996), 271-285.
• [2] N. Ishii, Construction of generators of modular function fields, Math. Japon. 28 (1983), 655-681.
• [3] F. Klein und R. Fricke, Vorlesungen über die Theorie der elliptischen Modulfunctionen I, Johnson reprint cooperation, New York, 1966.
• [4] D. Kubert and S. Lang, Units in the modular function fields, Math. Ann. 218 (1975), 175-189.
• [5] S. Lang, Elliptic Functions, Springer, New York, 1987.
• [6] G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Iwanami Shoten Publ. and Princeton Univ. Press, Tokyo, 1971.