Skip to main content
Log in

Some Properties of Reduced Drinfeld Modular Polynomials

  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract

In this paper we introduce a new kind of modular polynomials for rank 2 Drinfeld modules and discuss some properties of them.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Sunghan Bae, On the modular equation for Drinfeld modules of rank 2, J. of Number theory. 42 (1992), 123–133

    Article  MathSciNet  MATH  Google Scholar 

  2. Paula Cohen, On the coefficients of the transformation polynomials for the elliptic modular function, Math. Proc. Camb. Phil. Soc. 95 (1984), 389–402

    Article  MATH  Google Scholar 

  3. Ernst-Ulrich Gekeler, Drinfeld modular curves, LNM., vol.1231, Springer, Berlin, Heidelberg, New York, 1986

    Google Scholar 

  4. Ernst-Ulrich Gekeler, On the coefficients of Drinfeld modular forms, Invent. Math. 93 (1988), 667–700

    Article  MathSciNet  MATH  Google Scholar 

  5. Ernst-Ulrich Gekeler, On the Drinfeld discriminant function, Composito Math. 106 (1997), 181–202

    Article  MathSciNet  MATH  Google Scholar 

  6. Liang-Chung Hsia, On the coefficients of modular polynomials for Drinfeld modules, J. of Number theory. 72 (1998), 236–256

    Article  MathSciNet  MATH  Google Scholar 

  7. V. Müller, Ein Algorithmus zur Bestimmung der Punktanzahl elliptischer Kurven über endlichen Körpern der Charakteristik grösser drei. Dissertation, Technischen Fakultät der Universität des Saarlandes, 1995

  8. R. Schoof, Counting points of elliptic curves over finite fields, J.Th. des. Nombres Bordeaux(Serie 2) 7 (1995), 219–254

    Article  MathSciNet  MATH  Google Scholar 

  9. J.H. Silverman, Arithmetic of elliptic curves, Graduate text in Mathematics, Springer-Verlag, New York, 1986.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gerhard Rosenberger.

Additional information

AMS Mathematics Subject Classification (2000): 11F11, Partially supported by CNNF no.19871017

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rosenberger, G., Wang, X. Some Properties of Reduced Drinfeld Modular Polynomials. Results. Math. 44, 362–374 (2003). https://doi.org/10.1007/BF03322991

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03322991

Keywords

Navigation