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

Denis Benois

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

Number Theory 2012-09-07 v2

Authors: Denis Benois

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.

Keywords

p-adic L-functions trivial zeros elliptic modular forms near central points L-invariant Mazur-Tate-Teitelbaum formula potentially crystalline reduction

Cite

@article{arxiv.1107.1084,
  title  = {Trivial zeros of p-adic L-functions at near central points},
  author = {Denis Benois},
  journal= {arXiv preprint arXiv:1107.1084},
  year   = {2012}
}

Comments

32 pages

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