中心 L 值与大水平同时不消失

IF 1 3区数学 Q1 MATHEMATICS Forum Mathematicum Pub Date : 2024-03-25 DOI:10.1515/forum-2024-0014

Balesh Kumar, Murugesan Manickam, Karam Deo Shankhadhar

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引用次数: 0

摘要

对于给定的大素数级的规范化新形 f，我们为与 f 具有相同权重和级数的规范化新形 g 的数量建立了一个与级数相关的下限，使得 f 和 g 的中心 L 值都不会因二次方特征的扭曲而消失。

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Simultaneous nonvanishing of central L-values with large level

For a given normalized newform f of large prime level, we establish a lower bound with respect to the level for the number of normalized newforms g of the same weight and level as of f such that the central L-values of f and g both twisted by a quadratic character do not vanish.

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来源期刊

Forum Mathematicum 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Forum Mathematicum is a general mathematics journal, which is devoted to the publication of research articles in all fields of pure and applied mathematics, including mathematical physics. Forum Mathematicum belongs to the top 50 journals in pure and applied mathematics, as measured by citation impact.

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