English

Derivative of symmetric square p-adic L-functions via pull-back formula

Number Theory 2018-05-10 v2

Abstract

In this paper we recall the method of Greenberg and Stevens to calculate derivatives of p-adic L-functions using deformations of Galois representation and we apply it to the symmetric square of a modular form Steinberg at p. Under certain hypotheses on the conductor and the Nebentypus, this prove a conjecture of Greenberg and Benois on trivial zeros.

Keywords

Cite

@article{arxiv.1401.1431,
  title  = {Derivative of symmetric square p-adic L-functions via pull-back formula},
  author = {Giovanni Rosso},
  journal= {arXiv preprint arXiv:1401.1431},
  year   = {2018}
}

Comments

23 pages, comments welcome