Abstract

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.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1573-1632
Launched on MUSE
2011-12-01
Open Access
No
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