组 $$\mathbf {1/2}$ 的权 $$\mathbf {\Gamma _0^+({\varvec{p}})}$ 乘法系统和几何公式

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-01-16 DOI:10.1007/s00013-023-01948-w

Michael H. Mertens, Mark A. Norfleet

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引用次数: 0

摘要

Abstract 我们为 p 为奇素的全等子群（\Gamma _0^+(p)\) 构建了一个权 1/2 乘数系统。的归一化子群，其中 p 是奇素数，我们定义了 eta 函数和拉德马赫符号的类似物，并将其与上半平面三角剖分中的边路径几何联系起来。

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Weight $\mathbf {1/2}$ multiplier systems for the group $\mathbf {\Gamma _0^+({\varvec{p}})}$ and a geometric formulation

We construct a weight 1/2 multiplier system for the group $\Gamma _0^+(p)$, the normalizer of the congruence subgroup $\Gamma _0(p)$ where p is an odd prime, and we define an analogue of the eta function and Rademacher symbol and relate it to the geometry of edge paths in a triangulation of the upper half-plane.

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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.