四元数模形式上l值的代数性质

IF 0.6 3区数学 Q3 MATHEMATICS Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2022-04-04 DOI:10.4153/s0008414x23000184

Thanasis Bouganis, Yubo Jin

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引用次数: 2

摘要

本文证明了四元数模形式上若干l值的代数性。我们遵循相当完善的倍增法路径。我们的主要贡献是我们包含了相应的非管型对称空间的情况。我们对多重嵌入、协集分解以及模形式的代数定义等方面做了非常明确的阐述。

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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Algebraicity of L-values attached to Quaternionic modular forms

In this paper we prove the algebraicity of some L-values attached to quaternionic modular forms. We follow the rather well established path of the doubling method. Our main contribution is that we include the case where the corresponding symmetric space is of non-tube type. We make various aspects very explicit such as, the doubling embedding, coset decomposition, and the definition of algebraicity of modular forms via CM points.

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来源期刊

Canadian Journal of Mathematics-Journal Canadien De Mathematiques 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

4.5 months

期刊介绍： The Canadian Journal of Mathematics (CJM) publishes original, high-quality research papers in all branches of mathematics. The Journal is a flagship publication of the Canadian Mathematical Society and has been published continuously since 1949. New research papers are published continuously online and collated into print issues six times each year. To be submitted to the Journal, papers should be at least 18 pages long and may be written in English or in French. Shorter papers should be submitted to the Canadian Mathematical Bulletin. Le Journal canadien de mathématiques (JCM) publie des articles de recherche innovants de grande qualité dans toutes les branches des mathématiques. Publication phare de la Société mathématique du Canada, il est publié en continu depuis 1949. En ligne, la revue propose constamment de nouveaux articles de recherche, puis les réunit dans des numéros imprimés six fois par année. Les textes présentés au JCM doivent compter au moins 18 pages et être rédigés en anglais ou en français. C’est le Bulletin canadien de mathématiques qui reçoit les articles plus courts.