Spectral reciprocity via integral representations

IF 0.9 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2023-08-29 DOI:10.2140/ant.2023.17.1381

Ramon M. Nunes

引用次数: 6

Abstract

We prove a spectral reciprocity formula for automorphic forms on $GL (2)$ over a number field that is reminiscent of one found by Blomer and Khan. Our approach uses period representations of $L$ -functions and the language of automorphic representations.

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通过积分表示的谱互易性

我们证明了GL上自同构形式的一个谱互易公式⁡ （2）在一个让人想起Blomer和Khan发现的数字域上。我们的方法使用L-函数的周期表示和自同构表示语言。

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.