Hybrid subconvexity bounds for twists of GL(3) × GL(2) L-functions

IF 0.9 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2023-09-19 DOI:10.2140/ant.2023.17.1715

Bingrong Huang, Zhao Xu

引用次数: 5

Abstract

We prove hybrid subconvexity bounds for $GL (3) \times GL (2)$ $L$ -functions twisted by a primitive Dirichlet character modulo $M$ (prime) in the $M$ - and $t$ -aspects. We also improve hybrid subconvexity bounds for twists of $GL (3)$ $L$ -functions in the $M$ - and $t$ -aspects.

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GL（3）×GL（2）L-函数扭曲的混合次凸界

我们证明了GL的混合次凸界⁡ （3） ×GL⁡ （2）由模M（素数）的基Dirichlet特征在M-和t-方面扭曲的L-函数。我们还改进了GL扭曲的混合次凸界⁡ （3） M-和t-方面的L-函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.