Archimedean zeta integrals for 𝐺𝐿(3)×𝐺𝐿(2)

IF 2 4区数学 Q1 MATHEMATICS Memoirs of the American Mathematical Society Pub Date : 2022-07-01 DOI:10.1090/memo/1366

Miki Hirano, Taku Ishii, Tadashi Miyazaki

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引用次数: 1

Abstract

In this article, we give explicit formulas of archimedean Whittaker functions on G L ( 3 ) GL(3) and G L ( 2 ) GL(2) . Moreover, we apply those to the calculation of archimedean zeta integrals for G L ( 3 ) × G L ( 2 ) GL(3)\times GL(2) , and show that the zeta integral for appropriate Whittaker functions is equal to the associated L L -factors.

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的阿基米德zeta积分𝐺𝐿（3） ×𝐺𝐿（2）

本文给出了GL(3) GL(3)和GL(2) GL(2)上的阿基米德惠特克函数的显式公式。此外，我们将这些应用于GL(3) × GL(2) GL(3)\乘以GL(2)的阿基米德zeta积分的计算，并证明了适当的Whittaker函数的zeta积分等于相关的L -因子。

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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Memoirs of the American Mathematical Society 数学-数学

CiteScore

3.50

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Memoirs of the American Mathematical Society is devoted to the publication of research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers or groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the AMS. To be accepted by the editorial board, manuscripts must be correct, new, and significant. Further, they must be well written and of interest to a substantial number of mathematicians.

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