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A generalization of Greenberg's L-invariant
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 133, Number 6, December 2011
- pp. 1573-1632
- 10.1353/ajm.2011.0043
- Article
- Additional Information
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.