Hankel transform, Langlands functoriality and functional equation of automorphic L -functions

IF 1.8 3区数学 Q1 MATHEMATICS

Japanese Journal of Mathematics Pub Date : 2020-01-18 DOI:10.1007/s11537-019-1650-8

Bảo Châu Ngô

引用次数: 28

Abstract

This is a survey on recent works of Langlands’s work on functoriality conjectures and related works including the works of Braverman and Kazhdan on the functional equation of automorphic L-functions. Efforts have been made to carry out in complete generality the construction of the L-monoid, and certain a kernel which is, we believe, related to the elusive Hankel kernel.

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自同构L -函数的Hankel变换、Langlands泛函及泛函方程

本文综述了Langlands关于泛函猜想和Braverman和Kazhdan关于自同构l -函数泛函方程的最新研究成果。我们已经作出努力，全面地构造l -半群，并确定一个核，我们相信，与难以捉摸的汉克尔核有关。

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

Japanese Journal of Mathematics 数学-数学

CiteScore

3.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The official journal of the Mathematical Society of Japan, the Japanese Journal of Mathematics is devoted to authoritative research survey articles that will promote future progress in mathematics. It encourages advanced and clear expositions, giving new insights on topics of current interest from broad perspectives and/or reviewing all major developments in an important area over many years. An eminent international mathematics journal, the Japanese Journal of Mathematics has been published since 1924. It is an ideal resource for a wide range of mathematicians extending beyond a small circle of specialists. The official journal of the Mathematical Society of Japan. Devoted to authoritative research survey articles that will promote future progress in mathematics. Gives new insight on topics of current interest from broad perspectives and/or reviews all major developments in an important area over many years.