Trivial zeros of p-adic L-functions at near central points

Denis Benois

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arXiv · 1107.1084

Trivial zeros of p-adic L-functions at near central points

Denis Benois

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Abstract

Using the $\scr L$-invariant constructed in our previous paper we prove a Mazur-Tate-Teitelbaum style formula for derivatives of p-adic L-functions of elliptic modular forms at near central points. In the second version of the paper the case of potentially crystalline reduction is also covered.

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Denis Benois. 2012-09-06. Trivial zeros of p-adic L-functions at near central points. https://arxiv.org/abs/1107.1084

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