$$GL(3)/times GL(2)$$ L 函数的谱矩公式 III：扭曲情况

IF 1.3 2区数学 Q1 MATHEMATICS

Mathematische Annalen Pub Date : 2024-06-21 DOI:10.1007/s00208-024-02914-9

Chung-Hang Kwan

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引用次数: 0

摘要

这是我们之前文章的续篇（Kwan in Algebra Number Theory.ArXiv:2310.09419).在这项工作中，我们应用了 "周期互惠 "旗帜下的最新技术来研究 $GL(3)\times GL(2)$ L 函数在非拱顶中的时刻。L 函数的非archimedean 方面，以期实现 CFKRS 提出的 "扭曲矩猜想"。

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Spectral moment formulae for $$GL(3)\times GL(2)$$ L-functions III: the twisted case

This is a sequel to our previous articles (Kwan in Algebra Number Theory. arXiv:2112.08568v4; Kwan in Spectral moment formulae for $GL(3)\times GL(2)$ L-functions II: Eisenstein case, 2023. arXiv:2310.09419). In this work, we apply recent techniques that fall under the banner of ‘Period Reciprocity’ to study moments of $GL(3)\times GL(2)$ L-functions in the non-archimedean aspects, with a view towards the ‘Twisted Moment Conjectures’ formulated by CFKRS.

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来源期刊

Mathematische Annalen 数学-数学

CiteScore

2.90

自引率

7.10%

发文量

181

审稿时长

4-8 weeks

期刊介绍： Begründet 1868 durch Alfred Clebsch und Carl Neumann. Fortgeführt durch Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück und Nigel Hitchin. The journal Mathematische Annalen was founded in 1868 by Alfred Clebsch and Carl Neumann. It was continued by Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguigon, Wolfgang Lück and Nigel Hitchin. Since 1868 the name Mathematische Annalen stands for a long tradition and high quality in the publication of mathematical research articles. Mathematische Annalen is designed not as a specialized journal but covers a wide spectrum of modern mathematics.