On extra-zeros of p-adic L-functions: the crystalline case
Language
en
Article de revue
This item was published in
Iwasawa theory 2012. State of the Art and Recent Advances. Contributions in Mathematical and Computational Sciences, vol. 7, Springer. 2014-11-01p. 1-52
English Abstract
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 ...Read more >
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.Read less <
Origin
Hal imported