A vertical Sato-Tate law for GL(4)

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-05-15 DOI:10.1007/s00013-024-01996-w

Tian An Wong

引用次数: 0

Abstract

We establish a doubly-weighted vertical Sato-Tate law for GL(4) with explicit error terms. The main ingredient is an extension of the orthogonality relation for Maass cusp forms on GL(4) of Goldfeld, Stade, and Woodbury from spherical to general forms, and without their assumption of the Ramanujan conjecture for the error term.

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GL(4) 的垂直萨托-塔特定律

我们为 GL(4) 建立了具有明确误差项的双加权垂直萨托-塔特定律。其主要内容是将 Goldfeld、Stade 和 Woodbury 在 GL(4) 上的 Maass cusp 形式的正交关系从球面形式扩展到一般形式，并且不假定误差项为 Ramanujan 猜想。

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

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.