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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48008完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 謝銘倫 | |
| dc.contributor.author | Yao Cheng | en |
| dc.contributor.author | 鄭堯 | zh_TW |
| dc.date.accessioned | 2021-06-15T06:44:20Z | - |
| dc.date.available | 2011-07-25 | |
| dc.date.copyright | 2011-07-25 | |
| dc.date.issued | 2011 | |
| dc.date.submitted | 2011-07-01 | |
| dc.identifier.citation | [HKS96] Michael Harris, Stephen S. Kudla, and William J. Sweet, Theta dichotomy for unitary groups, J. Amer. Math. Soc. 9
(1996), no. 4, 941 1004. [MS00] Atsushi Murase and Takashi Sugano, Local theory of primitive theta functions, Compositio Math. 123 (2000), no. 3, 273 302. [RR93] R. Ranga Rao, On some explicit formulas in the theory of Weil representation, Paci c J. Math. 157 (1993), no. 2, 335 371. MR 1197062 (94a:22037) [Wei65] André Weil, Sur la formule de Siegel dans la théorie des groupes classiques, Acta Math. 113 (1965), 1 87. MR 0223373 (36 #6421) [Yan98] Tonghai Yang, Eigenfunctions of the Weil representation of unitary groups of one variable, Trans. Amer. Math. Soc. 350 (1998), no. 6, 2393 2407. [Yan99] , Nonvanishing of central Hecke L-values and rank of certain elliptic curves, Compositio Math. 117 (1999), no. 3, 337 359. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48008 | - |
| dc.description.abstract | 在這篇論文中,我們明確的構作酉群上韋依表現的特徵函數當其局部體的剩餘體有偶質數特徵值時.我們根據楊通海的作法,在lattice model 中構作這些特徵函數. | zh_TW |
| dc.description.provenance | Made available in DSpace on 2021-06-15T06:44:20Z (GMT). No. of bitstreams: 1 ntu-100-R98221013-1.pdf: 501955 bytes, checksum: 43f38d47e4c67ee503c9ab7d8f1fa564 (MD5) Previous issue date: 2011 | en |
| dc.description.tableofcontents | 1. Introduction 1
2. Notation and definitions 3 3. Structure of the group U(1) 4 4. Lattice models of the Weil representation of U(1) 8 5. Eigenfunctions of the Weil representation of U(1): the case (I) 11 6. Multiplicity one theorem: the case (I) 15 7. The case (II) 26 References 36 | |
| dc.language.iso | en | |
| dc.subject | 特徵函數 | zh_TW |
| dc.subject | 酉群 | zh_TW |
| dc.subject | 韋依表現 | zh_TW |
| dc.subject | Weil representation | en |
| dc.subject | dyadic local fields | en |
| dc.subject | eigenfunction | en |
| dc.subject | unitary group | en |
| dc.title | 酉群上韋依表現特徵函數的構造 | zh_TW |
| dc.title | Eigenfunctions of the Weil Representation of Unitary Groups Over the Dyadic Local Fields | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 99-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 潘戍衍,余正道 | |
| dc.subject.keyword | 酉群,韋依表現,特徵函數, | zh_TW |
| dc.subject.keyword | unitary group,Weil representation,eigenfunction,dyadic local fields, | en |
| dc.relation.page | 36 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2011-07-01 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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