On trivial zeros of Perrin-Riou's $L$-functions

Details On trivial zeros of Perrin-Riou's $L$-functions On trivial zeros of Perrin-Riou's $L$-functions

2009-06-16

arxiv.org/abs/0906.2862v1

Mathematics

Number Theory

37 pages

Scientific paper

In the previous paper we generalized Greenberg's construction of the $\Cal
L$-invariant to semistable representations. Here we prove that this
construction is compatible with Perrin-Riou's theory of $p$-adic $L$-functions

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