Stickelberger elements in function fields

David R. Hayes

Compositio Mathematica (1985)

  • Volume: 55, Issue: 2, page 209-239
  • ISSN: 0010-437X

How to cite


Hayes, David R.. "Stickelberger elements in function fields." Compositio Mathematica 55.2 (1985): 209-239. <>.

author = {Hayes, David R.},
journal = {Compositio Mathematica},
keywords = {elliptic modules; cyclotomic function fields; Iwasawa theory; p-adic group ring; partial zeta-functions; ideal class groups; Stickelberger element; Stark's Abelian conjectures; Drinfeld modules; units},
language = {eng},
number = {2},
pages = {209-239},
publisher = {Martinus Nijhoff Publishers},
title = {Stickelberger elements in function fields},
url = {},
volume = {55},
year = {1985},

AU - Hayes, David R.
TI - Stickelberger elements in function fields
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 55
IS - 2
SP - 209
EP - 239
LA - eng
KW - elliptic modules; cyclotomic function fields; Iwasawa theory; p-adic group ring; partial zeta-functions; ideal class groups; Stickelberger element; Stark's Abelian conjectures; Drinfeld modules; units
UR -
ER -


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  14. [14] J. Tate: Les conjectures de Stark sur les functions L d'Artin en s = 0, Birkhauser, Boston (1984). Zbl0545.12009MR782485
  15. [15] J. Tate: Brumer-Stark-Stickelberger, Séminaire de Théorie des Numbres, Université de Bordeaux (1980-81), exposé no. 24. Zbl0504.12005MR644657
  16. [16] J. Tate: On Stark's conjectures on the behavior of L(s, χ) at s = 0. Jour. Fac. Science, Univ. of Tokyo, 28 (1982), 963-978. Zbl0514.12013

Citations in EuDML Documents

  1. Fei Xu, Jianqiang Zhao, Maximal independent systems of units in global function fields
  2. Hassan Oukhaba, Sign functions of imaginary quadratic fields and applications
  3. Ernst-Ulrich Gekeler, Méthodes analytiques rigides dans la théorie arithmétique des corps de fonctions
  4. Harald Niederreiter, Chaoping Xing, Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places
  5. Harald Niederreiter, Chaoping Xing, Drinfeld modules of rank 1 and algebraic curves with many rational points. II

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