二面体权1形式的Hecke代数的推导

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2022-07-04 DOI:10.1307/mmj/20217221

M. Harris, V. Rotger, Akshay Venkatesh

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引用次数: 9

摘要

我们研究了在二面体权一形式下所导出的Hecke代数的作用，并证明了第二及第四作者关于这种作用与对称方形l函数相关的某些Stark单位的一个猜想。该证明利用了赫克各模之间的θ对应关系以及Merel和Lecouturier关于更高爱森斯坦元素的想法。

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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The Derived Hecke Algebra for Dihedral Weight One Forms

We study the action of the derived Hecke algebra in the setting of dihedral weight one forms and prove a conjecture of the secondand fourthnamed authors relating this action to certain Stark units associated to the symmetric square L-function. The proof exploits the theta correspondence between various Hecke modules as well as the ideas of Merel and Lecouturier on higher Eisenstein elements.

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.