A note on the Sturm bound for Siegel modular forms of type (k, 2)

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2020-10-30 DOI:10.1007/s12188-020-00223-x

Hirotaka Kodama

引用次数: 0

Abstract

We study analogues of Sturm’s bounds for vector valued Siegel modular forms of type (k, 2), which was already studied by Sturm in the case of an elliptic modular form and by Choi–Choie–Kikuta, Poor–Yuen and Raum–Richter in the case of scalar valued Siegel modular forms.

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关于（k，2）型Siegel模形式的Sturm界的一个注记

我们研究了（k，2）型向量值Siegel模形式的Sturm界的类似物，Sturm在椭圆模形式的情况下已经研究了这一点，Choi–Choie–Kikuta、Poor–Yuen和Raum–Richter在标量值Siegel模形式的情况下已经研究过这一点。

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

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.