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MR1225991 14G10 (11G25 11L03 14F20 14F30)
Étesse, Jean-Yves; Le Stum, Bernard Fonctions $L$ associées aux $F$-isocristaux surconvergents. I. Interprétation cohomologique. (French) [$L$-functions associated with superconvergent $F$-isocrystals. I. Cohomological interpretation] Math. Ann. 296 (1993), no. 3, 557–576.
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