Generators and equations for modular function fields of principal congruence subgroups

Nobuhiko Ishida

Acta Arithmetica (1998)

  • Volume: 85, Issue: 3, page 197-207
  • ISSN: 0065-1036

How to cite

top

Nobuhiko Ishida. "Generators and equations for modular function fields of principal congruence subgroups." Acta Arithmetica 85.3 (1998): 197-207. <http://eudml.org/doc/207163>.

@article{NobuhikoIshida1998,
author = {Nobuhiko Ishida},
journal = {Acta Arithmetica},
keywords = {generators; equations; modular function fields; principal congruence subgroups; minimal polynomials},
language = {eng},
number = {3},
pages = {197-207},
title = {Generators and equations for modular function fields of principal congruence subgroups},
url = {http://eudml.org/doc/207163},
volume = {85},
year = {1998},
}

TY - JOUR
AU - Nobuhiko Ishida
TI - Generators and equations for modular function fields of principal congruence subgroups
JO - Acta Arithmetica
PY - 1998
VL - 85
IS - 3
SP - 197
EP - 207
LA - eng
KW - generators; equations; modular function fields; principal congruence subgroups; minimal polynomials
UR - http://eudml.org/doc/207163
ER -

References

top
  1. [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. Zbl0871.11031
  2. [2] N. Ishii, Construction of generators of modular function fields, Math. Japon. 28 (1983), 655-681. Zbl0536.10016
  3. [3] F. Klein und R. Fricke, Vorlesungen über die Theorie der elliptischen Modulfunctionen I, Johnson reprint cooperation, New York, 1966. 
  4. [4] D. Kubert and S. Lang, Units in the modular function fields, Math. Ann. 218 (1975), 175-189. Zbl0311.14005
  5. [5] S. Lang, Elliptic Functions, Springer, New York, 1987. 
  6. [6] G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Iwanami Shoten Publ. and Princeton Univ. Press, Tokyo, 1971. Zbl0221.10029

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.