@article{JTNB_1993__5_1_139_0,
author = {Damamme, G.},
title = {Irrationalit\'e de $\zeta (s)$ pour $s \le q$ dans certains modules de {Drinfeld} de rang $1$},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {139--149},
year = {1993},
publisher = {Universit\'e Bordeaux I},
volume = {5},
number = {1},
mrnumber = {1251233},
zbl = {0784.11026},
language = {fr},
url = {https://www.numdam.org/item/JTNB_1993__5_1_139_0/}
}
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 SP - 139 EP - 149 VL - 5 IS - 1 PB - Université Bordeaux I UR - https://www.numdam.org/item/JTNB_1993__5_1_139_0/ LA - fr ID - JTNB_1993__5_1_139_0 ER -
%0 Journal Article %A Damamme, G. %T Irrationalité de $\zeta (s)$ pour $s \le q$ dans certains modules de Drinfeld de rang $1$ %J Journal de théorie des nombres de Bordeaux %D 1993 %P 139-149 %V 5 %N 1 %I Université Bordeaux I %U https://www.numdam.org/item/JTNB_1993__5_1_139_0/ %G fr %F JTNB_1993__5_1_139_0
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, Tome 5 (1993) no. 1, pp. 139-149. https://www.numdam.org/item/JTNB_1993__5_1_139_0/
[1] , On certain functions connected with polynomials in a Galois field, Duke Math. J. 1 (1935), 137-168. | Zbl | MR | JFM
[2] et , Irrationality measures of Carlitz zeta values in positive characteristic, J. Number Theory 44 (1993), 260-272. | Zbl | MR
[3] , Irrationalité de ζ(s) dans le corps des séries formelles Fq((1/t)), C. R. Math. Rep. Acad. Sci. Canada 9 (1987), 207-212. | Zbl
[4] and , Transcendence of the values of the Carlitz zeta function by Wade's method, J. Number Theory 39 (1991), 257-278. | Zbl | MR
[5] , Elliptic modules (English translation), Math. Sbornik 23 (1974), 561-592. | Zbl | MR
[6] , Explicit class field theory in global function fields, G. C. Rota (ed). Studies in Algebra and Number theory. Academic press (1979), 173-217. | Zbl | MR
[7] , , , On congruence function fields of class number one, J. Number Theory 7 (1975), 11-27. | Zbl | MR
[8] , Drinfeld modules and arithmetic in the function fields, J. Number Theory, à paraître.
[9] , Transcendence and Drinfeld modules, Invent. Math. 83 (1986), 507-517. | Zbl | MR
[10] , Transcendence and special zeta values in characteristic p, Annals of Math. 134 (1991), 1-23. | Zbl | MR






