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ArticleOriginal scientific text

Title

Maximal independent systems of units in global function fields

Authors 1, 1, 2

Affiliations

  1. Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, P.R.China
  2. Department of Mathematics, Brown University, Box 1917, Providence, Rhode Island 02912, U.S.A.

Bibliography

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  2. [GR1] S. Galovich, M. Rosen, The class number of cyclotomic function fields, J. Number Theory 13 (1981), 363-375.
  3. [GR2] S. Galovich, Units and class group in cyclotomic function fields, J. Number Theory 14 (1982), 156-184.
  4. [H1] D. Hayes, Elliptic units in function fields, in: Proceedings of a Conference Related to Fermat's Last Theorem, D. Goldfeld (ed.), Birkhäuser, Boston, 1982, 321-341.
  5. [H2] D. Hayes, A brief introduction to Drinfeld modules, in: The Arithmetic of Function Fields, Proceedings of the Workshop at the Ohio State University, D. Goss, D. Hayes and M. Rosen (eds.), Walter de Gruyter, Berlin, New York, 1992, 1-32.
  6. [H3] D. Hayes, Stickelberger elements in function fields, Compositio Math. 55 (1985), 209-239.
  7. [H4] D. Hayes, Explicit class field theory in global function fields, in: Studies in Algebra and Number Theory, Adv. in Math. Suppl. Stud. 6, Academic Press, 1979, 173-271.
  8. [O] H. Oukhaba, Elliptic units in global function fields, in: The Arithmetic of Function Fields, Proceedings of the Workshop at the Ohio State University, D. Goss, D. Hayes and M. Rosen (eds.), Walter de Gruyter, Berlin, New York, 1992, 87-102.
  9. [R] M. Rosen, The Hilbert class field in function fields, Exposition. Math. 5 (1987), 365-378.
  10. [S] L. Shu, Class number formulas over global function fields, J. Number Theory 48 (1994), 133-161.
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  12. [Y] L. Yin, Index-class number formulas over global function fields, Preprint series 95-42, Department of Mathematics, University of Tokyo, 1995.
Acta Arithmetica
1996-1997/78/1
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Pages:
1-10
Main language of publication
English
Received
1995-04-10
Accepted
1996-06-05
Published
1996
Exact and natural sciences