Multiplicity one theorems, S-version
文献类型：期刊论文
| 作者 | Wang Song |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2015 |
| 卷号 | 58期号:2页码:233-256 |
| 关键词 | SELBERG L-FUNCTIONS LEAST PRIME GL(N) PROOF multiplicity one theorem S-version automorphic form L-function |
| ISSN号 | 1674-7283 |
| 其他题名 | Multiplicity one theorems, S-version |
| 英文摘要 | 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). |
| 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] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5386926 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/56202]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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