论文标题

P-Adic Rankin-Selberg L功能

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

论文作者

Benois, Denis, Horte, Stéphane

论文摘要

我们证明了由第一位命名作者提出的零猜想的版本,该版本是与兰金·塞尔伯格(Rankin-Selberg)相同的相同重量模块化形式相关的P-Adic L功能。这种结果的新颖性是在非关键情况下提供了支持这种猜想的有力证据,而这种猜想基本上是未被研究的。

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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