English

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

Number Theory 2009-06-17 v1

Abstract

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

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Cite

@article{arxiv.0906.2862,
  title  = {On trivial zeros of Perrin-Riou's $L$-functions},
  author = {Denis Benois},
  journal= {arXiv preprint arXiv:0906.2862},
  year   = {2009}
}

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37 pages