Special functions and twisted L-series
Bruno Anglès1 ; Tuan Ngo Dac2 ; Floric Tavares Ribeiro1
1 Normandie Université Université de Caen Normandie Laboratoire de Mathématiques Nicolas Oresme, CNRS UMR 6139 Campus II, Boulevard Maréchal Juin B.P. 5186, 14032 Caen Cedex, France
2 CNRS - Normandie Université Université de Caen Normandie Laboratoire de Mathématiques Nicolas Oresme, CNRS UMR 6139 Campus II, Boulevard Maréchal Juin B.P. 5186, 14032 Caen Cedex, France
Journal de théorie des nombres de Bordeaux, Tome 29 (2017) no. 3, pp. 931-961.

Nous donnons une généralisation de la fonction spéciale d’Anderson–Thakur et nous prouvons un théorème de rationalité pour les séries L à plusieurs variables associées aux fonctions chtoucas.

We present a generalization of the Anderson–Thakur special function, and we prove a rationality result for several variable twisted L-series associated to shtuka functions.

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DOI : 10.5802/jtnb.1007
Classification : 11M38, 11F52, 11G09
Mots clés : Goss $L$-functions, several variable $L$-series, Drinfeld modules
Bruno Anglès 1 ; Tuan Ngo Dac 2 ; Floric Tavares Ribeiro 1

1 Normandie Université Université de Caen Normandie Laboratoire de Mathématiques Nicolas Oresme, CNRS UMR 6139 Campus II, Boulevard Maréchal Juin B.P. 5186, 14032 Caen Cedex, France
2 CNRS - Normandie Université Université de Caen Normandie Laboratoire de Mathématiques Nicolas Oresme, CNRS UMR 6139 Campus II, Boulevard Maréchal Juin B.P. 5186, 14032 Caen Cedex, France
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Bruno Anglès; Tuan Ngo Dac; Floric Tavares Ribeiro. Special functions and twisted $L$-series. Journal de théorie des nombres de Bordeaux, Tome 29 (2017) no. 3, pp. 931-961. doi : 10.5802/jtnb.1007. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1007/

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