Irrationalité de ζ ( s ) pour s ≤ q dans certains modules de Drinfeld de rang 1

G. Damamme

Journal de théorie des nombres de Bordeaux (1993)

  • Volume: 5, Issue: 1, page 139-149
  • ISSN: 1246-7405

How to cite

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Damamme, G.. "Irrationalité de $\zeta (s)$ pour $s \le q$ dans certains modules de Drinfeld de rang $1$." Journal de théorie des nombres de Bordeaux 5.1 (1993): 139-149. <http://eudml.org/doc/93568>.

@article{Damamme1993,
author = {Damamme, G.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {irrationality; Drinfeld modules; zeta values; Carlitz zeta function},
language = {fre},
number = {1},
pages = {139-149},
publisher = {Université Bordeaux I},
title = {Irrationalité de $\zeta (s)$ pour $s \le q$ dans certains modules de Drinfeld de rang $1$},
url = {http://eudml.org/doc/93568},
volume = {5},
year = {1993},
}

TY - JOUR
AU - Damamme, G.
TI - Irrationalité de $\zeta (s)$ pour $s \le q$ dans certains modules de Drinfeld de rang $1$
JO - Journal de théorie des nombres de Bordeaux
PY - 1993
PB - Université Bordeaux I
VL - 5
IS - 1
SP - 139
EP - 149
LA - fre
KW - irrationality; Drinfeld modules; zeta values; Carlitz zeta function
UR - http://eudml.org/doc/93568
ER -

References

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  1. [1] L. Carlitz, On certain functions connected with polynomials in a Galois field, Duke Math. J.1 (1935), 137-168. Zbl0012.04904MR1545872JFM61.0127.01
  2. [2] H. Chérif et B. de Mathan, Irrationality measures of Carlitz zeta values in positive characteristic, J. Number Theory44 (1993), 260-272. Zbl0780.11031MR1233288
  3. [3] G. Damamme, Irrationalité de ζ(s) dans le corps des séries formelles Fq((1/t)), C. R. Math. Rep. Acad. Sci. Canada9 (1987), 207-212. Zbl0634.10034
  4. [4] G. Damamme and Y. Hellegouarch, Transcendence of the values of the Carlitz zeta function by Wade's method, J. Number Theory39 (1991), 257-278. Zbl0743.11070MR1133556
  5. [5] V. Drinfeld, Elliptic modules (English translation), Math. Sbornik23 (1974), 561-592. Zbl0321.14014MR384707
  6. [6] D. Hayes, Explicit class field theory in global function fields, G. C. Rota (ed). Studies in Algebra and Number theory. Academic press (1979), 173-217. Zbl0476.12010MR535766
  7. [7] J. Leitzel, M. Madan, C. Queen, On congruence function fields of class number one, J. Number Theory7 (1975), 11-27. Zbl0318.12009MR369326
  8. [8] D.S. Thakur, Drinfeld modules and arithmetic in the function fields, J. Number Theory, à paraître. Zbl0756.11015
  9. [9] J. Yu, Transcendence and Drinfeld modules, Invent. Math.83 (1986), 507-517. Zbl0586.12010MR827364
  10. [10] J. Yu, Transcendence and special zeta values in characteristic p, Annals of Math.134 (1991), 1-23. Zbl0734.11040MR1114606

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