On extra-zeros of p-adic L-functions: the crystalline case
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en
Article de revue
Ce document a été publié dans
Iwasawa theory 2012. State of the Art and Recent Advances. Contributions in Mathematical and Computational Sciences, vol. 7, Springer. 2014-11-01p. 1-52
Résumé en anglais
We formulate a conjecture about extra zeros of p-adic L-functions at near central points. We prove that this conjecture is compatible with Perrin-Riou's theory of p-adic L-functions. Namely, using Nekovar's machinery of ...Lire la suite >
We formulate a conjecture about extra zeros of p-adic L-functions at near central points. We prove that this conjecture is compatible with Perrin-Riou's theory of p-adic L-functions. Namely, using Nekovar's machinery of Selmer complexes we prove that our L -invariant appears as an additional factor in the Bloch-Kato type formula for special values of Perrin-Riou's module of L-functions.< Réduire
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