Special functions and twisted $L$-series

Anglès, Bruno; Ngo Dac, Tuan; Tavares Ribeiro, Floric

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.

Classification : 11M38, 11F52, 11G09
Mots clés : Goss $L$-functions, several variable $L$-series, Drinfeld modules

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