A generalization of Greenberg's L -invariant
A generalization of Greenberg's L -invariant
Using the theory of $(\phi,\Gamma)$-modules we generalize Greenberg's construction of the $\cal{L}$-invariant to $p$-adic representations which are semistable at $p$.\ This allows us to formulate a quite general conjecture about the behavior of $p$-adic $L$-functions at trivial zeros.