On automorphic L-functions
On automorphic L-functions
复制标题
关于自守 L-函数
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
S. Gelbart
中科院分区：
文献类型：
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作者：
J. Arthur;S. Gelbart
前言这篇文章遵循五个讲座的格式，我们给了自守L函数。讲座的目的是一个简短的介绍一些理论家的主要思想的主题。三个讲座有关的一般性质的自守L-职能，特别提到的问题，频谱分解。我们将这些问题归为第一部分。虽然自守L函数的许多预期性质仍然是未知的，但现在已经建立了大量的性质。剩下的两个讲座集中在已被用来建立这样的属性的技术。这些讲座构成了本文的第一部分。
PREFACE This article follows the format of five lectures that we gave on automorphic Lfunctions. The lectures were intended to be a brief introduction for number theorists to some of the main ideas in the subject. Three of the lectures concerned the general properties of automorphic L-functions, with particular reference to questions of spectral decomposition. We have grouped these together as Part I. While many of the expected properties of automorphic Lfunctions remain conjectural, a significant number have now been established. The remaining two lectures were focused on the techniques which have been used to establish such properties. These lectures form Part I1 of the article.