期刊論文
| 學年 | 107 |
|---|---|
| 學期 | 1 |
| 出版（發表）日期 | 2018-10-01 |
| 作品名稱 | Zeta and L-functions of finite quotients of apartments and buildings |
| 作品名稱（其他語言） | |
| 著者 | Ming-Hsuan Kang; Wen-Ching Winnie Li; Chian-Jen Wang |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Israel Journal of Mathematics 228(1), p.79-117 |
| 摘要 | In this paper, we study relations between Langlands L-functions and zeta functions of geodesic walks and galleries for finite quotients of the apartments of G =PGL3 and PGSp4 over a nonarchimedean local field with q elements in its residue field. They give rise to an identity (Theorem 5.3) which can be regarded as a generalization of Ihara’s theorem for finite quotients of the Bruhat–Tits trees. This identity is shown to agree with the q = 1 version of the analogous identities for finite quotients of the building of G established in [KL14, KLW10, FLW13], verifying the philosophy of the field with one element by Tits. A new identity for finite quotients of the building of PGSp4 involving the standard L-function (Theorem 6.3), complementing the one in [FLW13] which involves the spin L-function, is also obtained. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 0021-2172; 1565-8511 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 是 |
| 國別 | ISR |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/116991 ) |