Skip to main content
Log in

On class numbers of hyperelliptic function fields with Hasse-Witt-invariant zero

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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.

References

  1. B. C. Berndt andR. J. Evans, Sums of Gauss, Jacobi, and Jacobsthal. J. Number Theory11, 349–398 (1979).

    Google Scholar 

  2. H. Davenport undH. Hasse, Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen. J. Reine Angew. Math.172, 151–182 (1934).

    Google Scholar 

  3. M.Eichler, Introduction to the theory of algebraic numbers and functions. New York 1966.

  4. H.Hasse, The Riemann hypothesis in algebraic function fields over a finite constants field. Pennsylvania 1968.

  5. K.Ireland and M.Rosen, A classical introduction to modern number theory. New York-Heidelberg-Berlin 1982.

  6. T. Kodama andT. Washio, Hasse-Witt matrices of hyperelliptic function fields. Sci. Bull. Fac. Educ. Nagasaki Univ.37, 10–17 (1986).

    Google Scholar 

  7. Ju. I. Manin, The Hasse-Witt matrix of an algebraic curve. Trans. Amer. Math. Soc.45, 245–264 (1965).

    Google Scholar 

  8. H. Stichtenoth, Die Hasse-Witt-Invariante eines Kongruenzfunktionenkörpers. Arch. Math.33, 357–360 (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kodama, T., Washio, T. On class numbers of hyperelliptic function fields with Hasse-Witt-invariant zero. Arch. Math 49, 208–213 (1987). https://doi.org/10.1007/BF01271660

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01271660

Keywords

Navigation