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ArticleOriginal scientific text

Title

Generators and equations for modular function fields of principal congruence subgroups

Authors 1

Affiliations

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

Bibliography

  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.
Acta Arithmetica
1998/85/3
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Pages:
197-207
Main language of publication
English
Received
1997-05-05
Published
1998
Exact and natural sciences