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arXiv · 2009.01096

On extra-zeros of p-adic Rankin-Selberg L-functions

Denis Benois·Stéphane Horte
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Abstract

We prove a version of the Extra-zero conjecture formulated by the first named author for p-adic L-functions associated to Rankin-Selberg convolutions of modular forms of the same weight. The novelty of this result is to provide strong evidence in support of this conjecture in the non-critical case, which remained essentially unstudied.

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Denis Benois, Stéphane Horte. 2020-09-02. On extra-zeros of p-adic Rankin-Selberg L-functions. https://arxiv.org/abs/2009.01096

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