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MR922806 (89d:11104) 11R42 (11R80)
Colmez, Pierre Résidu en $s=1$ des fonctions zêta $p$-adiques. (French) [The residue at $s=1$ of $p$-adic zeta functions] Invent. Math. 91 (1988), no. 2, 371–389.
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