On extra zeros of p-adic L-functions: the crystalline case

Abstract

We formulate a conjecture about extra zeros of p-adic L-functions at near central points which generalises the conjecture formulated in our previous paper. We prove that this conjecture is compatible with Perrin-Riou's theory of p-adic L-functions.

arXiv comment48 pages. arXiv admin note: substantial text overlap with arXiv:0906.2862