On extra-zeros of p-adic Rankin-Selberg L-functions
Number Theory
2020-09-03 v1
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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Cite
@article{arxiv.2009.01096,
title = {On extra-zeros of p-adic Rankin-Selberg L-functions},
author = {Denis Benois and Stéphane Horte},
journal= {arXiv preprint arXiv:2009.01096},
year = {2020}
}
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59 pages