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

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.

23 pages, comments welcome

Cited by in corpus (2)

• A formula for the derivative of the p-adic L-function of the symmetric square of a finite slope modular form
• Derivative of the standard $p$-adic $L$-function associated with a Siegel form