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

Giovanni Rosso

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arXiv · 1401.1431

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

Giovanni Rosso

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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.

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Giovanni Rosso. 2014-01-07. Derivative of symmetric square p-adic L-functions via pull-back formula. https://arxiv.org/abs/1401.1431

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