no. 1
Fonctions L p -adiques et irrationalité
Bel, Pierre1 
1 Institut de Mathématiques de Bordeaux, UMR 5251, Université Bordeaux 1, 351, cours de la Libération, 33405 Talence cedex, France
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 1, pp. 189-227

We give a minoration of the dimension of the vector space spanned on a cyclotomic field by the values of p-adic Hurwitz zeta function. As a corollary, we obtain the existence of irrationality values of p-adic L functions. The proof uses hypergeometric series and a criterion of linear independence.

Classification : 11J72, 11J61

Bel, Pierre 1

1 Institut de Mathématiques de Bordeaux, UMR 5251, Université Bordeaux 1, 351, cours de la Libération, 33405 Talence cedex, France 
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Bel, Pierre. Fonctions $L$ $ $p$-adiques et irrationalité. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 1, pp. 189-227. https://www.numdam.org/item/ASNSP_2010_5_9_1_189_0/

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