On $p$-adic $L$-functions Attached to Motives over $Q$

Abstract

We propose a definition of thep-adic L-function of a motiveM over ℚ assumingM admits at least one critical point, andp is ordinary forM. This corrects by a power of\(i = \sqrt { - 1} \) an earlier definition of B. Perrin-Riou and the author.