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arxiv: 1401.1431 · v2 · pith:ZKW55KQ7new · submitted 2014-01-07 · 🧮 math.NT

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

classification 🧮 math.NT
keywords greenbergl-functionsp-adicsquaresymmetricapplybenoiscalculate
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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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