On characteristic p zeta functions
Thakur, Dinesh S.
Compositio Mathematica, Tome 99 (1995), p. 231-247 / Harvested from Numdam
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Publié le : 1995-01-01
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     author = {Thakur, Dinesh S.},
     title = {On characteristic $p$ zeta functions},
     journal = {Compositio Mathematica},
     volume = {99},
     year = {1995},
     pages = {231-247},
     mrnumber = {1361740},
     zbl = {0841.11030},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1995__99_3_231_0}
}

Thakur, Dinesh S. On characteristic $p$ zeta functions. Compositio Mathematica, Tome 99 (1995) pp. 231-247. http://gdmltest.u-ga.fr/item/CM_1995__99_3_231_0/

[A1] Anderson, G.: Rank one elliptic A-modules and A-harmonic series, Duke Math. J. 73 (1994) 491-542. | MR 1262925 | Zbl 0807.11032

[A-T] Anderson G. and Thakur D.: Tensor powers of the Carlitz module and zeta values, Annals of Math. 132 (1990) 159-191. | MR 1059938 | Zbl 0713.11082

[C1] Carlitz L.: On certain functions connected with polynomials in a Galois field, Duke Math. J. 1 (1935) 137-168. | JFM 61.0127.01 | MR 1545872 | Zbl 0012.04904

[G1] Goss D.: v-adic zeta functions, L-series and measures for function fields, Inventiones Mathematicae 55 (1979) 107-119. | MR 553704 | Zbl 0402.12006 | Zbl 0413.12009

[G2] Goss D.: The theory of totally real function fields, Contemp. Math. vol. 55, Amer. Math. Soc. Providence, R. I. (1986) 449-477. | MR 862648 | Zbl 0602.14029

[G3] Goss D.: Analogies between global fields, Conference Proceedings, Canadian Mathematical Society 7 (1987) 83-114. | MR 894321 | Zbl 0619.12009

[G4] Goss D.: L-series of t motives, The Arithmetic of function fields, Ed. Goss D. et al, Walter de Gruyter, NY (1992) 313-402. | MR 1196527 | Zbl 0806.11028

[K] Klingen H.: Uber die werte der Dedekndschen zetafunktion, Math. Annalen 145 (1962) 265-272. | MR 133304 | Zbl 0101.03002

[L1] Lee H.: Power sums of polynomials in a Galois field, Duke Math J. 10 (1943) 277-292. | MR 8074 | Zbl 0063.03468

[H1] Hayes D.: Explicit class field theory in global function fields, Studies in Algebra and Number theory - Ed. G. C. Rota, Academic press (1979) 173-217. | MR 535766 | Zbl 0476.12010

[H2] Hayes D.: A brief introduction to Drinfeld modules, The Arithmetic of Function Fields, Ed. David Goss et al, Walter de Gruyter, NY (1992) 1-32. | MR 1196509 | Zbl 0793.11015

[T1] Thakur D.: Gamma functions and Gauss sums for function fields and periods of Drinfeld modules, Thesis, Harvard University, (1987). | Zbl 0734.11036

[T2] Thakur D.: Zeta measure associated to Fq[T], J. Number Theory 35 (1990) 1-17. | MR 1054555 | Zbl 0703.11065

[T3] Thakur D.: Gauss sums for function fields, J. Number Theory 37 (1991) 242-252. | MR 1092609 | Zbl 0716.11057

[T4] Thakur D.: Drinfeld modules and arithmetic in function fields, International Mathematics Research Notices 1992, No. 9, 185-197, Duke Math. J. 68 (1992). | MR 1185833 | Zbl 0756.11015

[T5] Thakur D.: Iwasawa theory and cyclotomic function fields, Proceedings of the conference on Arithmetic geometry, March 93, Ed. N. Childress, J. Jones, Contemporary Math., vol. 174 (1994), American Math. Soc., 157-165. | MR 1299741 | Zbl 0811.11043

[Y1] Yu J.: Transcendence and special zeta values in characteristic p, Ann. Math. 134 (1991) 1-23. | MR 1114606 | Zbl 0734.11040