论𝑝-adic Rankin-Selberg 𝐿 函数的额外零点

IF 0.7 4区 数学 Q2 MATHEMATICS
D. Benois, S. Horte
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引用次数: 0

摘要

第一位作者提出的 "零外猜想 "的一个版本被证明适用于与同重模态的兰金-塞尔伯格卷积相关的 p -adic L L 函数。这一结果为在非临界情况下支持这一猜想提供了证据,而这一猜想基本上仍未得到研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On extra zeros of 𝑝-adic Rankin–Selberg 𝐿-functions

A version of the extra-zero conjecture, formulated by the first named author, is proved for p p -adic L L -functions associated with Rankin–Selberg convolutions of modular forms of the same weight. This result provides an evidence in support of this conjecture in the noncritical case, which remained essentially unstudied.

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来源期刊
CiteScore
1.00
自引率
12.50%
发文量
52
审稿时长
>12 weeks
期刊介绍: This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.
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