Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients

IF 0.8 3区数学 Q2 MATHEMATICS

Publicacions Matematiques Pub Date : 2019-01-01 DOI:10.5565/PUBLMAT6311911

Pramath Anamby, Soumya Das

引用次数: 9

Abstract

We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are determined by their Fourier coefficients indexed by matrices whose determinants are essentially square-free. Moreover, we give a quantitative version of the above result. This is a consequence of the corresponding results for integral weight elliptic cusp forms, which are also treated in this paper.

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用傅里叶系数的某个子集来区分2次的厄米尖形式

我们证明了2次的厄米模群的权k的厄米尖形式是由它们的傅里叶系数决定的，这些系数由其行列式本质上是无平方的矩阵表示。此外，我们给出了上述结果的一个定量版本。这是对积分权椭圆尖形的相应结果的推论，这在本文中也得到了处理。

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

Publicacions Matematiques 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publicacions Matemàtiques is a research mathematical journal published by the Department of Mathematics of the Universitat Autònoma de Barcelona since 1976 (before 1988 named Publicacions de la Secció de Matemàtiques, ISSN: 0210-2978 print, 2014-4369 online). Two issues, constituting a single volume, are published each year. The journal has a large circulation being received by more than two hundred libraries all over the world. It is indexed by Mathematical Reviews, Zentralblatt Math., Science Citation Index, SciSearch®, ISI Alerting Services, COMPUMATH Citation Index®, and it participates in the Euclid Project and JSTOR. Free access is provided to all published papers through the web page. Publicacions Matemàtiques is a non-profit university journal which gives special attention to the authors during the whole editorial process. In 2019, the average time between the reception of a paper and its publication was twenty-two months, and the average time between the acceptance of a paper and its publication was fifteen months. The journal keeps on receiving a large number of submissions, so the authors should be warned that currently only articles with excellent reports can be accepted.