Multiplicity one theorems, S-version

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	Multiplicity one theorems, S-version
其他题名	Multiplicity one theorems, S-version
	Wang Song
	2015
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	58 期号:2 页码:233-256
摘要	It is well known by the strong multiplicity one that pi is uniquely determined by the Satake parameter c(pi, v) for almost all v. Also, it suffices for us to test only finitely many v. We proved some S-effective version of multiplicity one theorems. Roughly speaking, if pi and pi' are not equivalent, then there is also a bound which is some expression in terms of K, d and max(N(pi), N(pi')), which are analytic conductor of pi and pi', respectively (will be defined soon), such that there is a v a parts per thousand S with pi (v) a parts per thousand OE pi' (v) and . We also proved S-effective multiplicity one for the Chebotarev Density Theorem, and for GL(1).
其他摘要	It is well known by the strong multiplicity one that π is uniquely determined by the Satake parameter c(π, v) for almost all v. Also, it suffices for us to test only finitely many v. We proved some S-effective version of multiplicity one theorems. Roughly speaking, if π and π' are not equivalent, then there is also a bound N(S) which is some expression in terms of K, d and max(N(π), N(π')), which are analytic conductor of π and π', respectively (will be defined soon), such that there is a v ? S with π_v≌π'_v and Np_v < N. We also proved S-effective multiplicity one for the Chebotarev Density Theorem, and for GL(1).
关键词	SELBERG L-FUNCTIONS LEAST PRIME GL(N) PROOF multiplicity one theorem S-version automorphic form L-function
收录类别	CSCD
语种	英语
资助项目	[State Key Development Program for Basic Research of China (973 project)] ; [National Natural Science Foundation of China] ; [One Hundred Talent's Program from Chinese Academy of Science]
CSCD记录号	CSCD:5386926
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/56203
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Wang Song. Multiplicity one theorems, S-version[J]. SCIENCE CHINA-MATHEMATICS,2015,58(2):233-256.
APA	Wang Song.(2015).Multiplicity one theorems, S-version.SCIENCE CHINA-MATHEMATICS,58(2),233-256.
MLA	Wang Song."Multiplicity one theorems, S-version".SCIENCE CHINA-MATHEMATICS 58.2(2015):233-256.