教師資料查詢 | 類別: 期刊論文 | 教師: 王千真 WANG, CHIAN-JEN (瀏覽個人網頁)

標題:Zeta and L-functions of finite quotients of apartments and buildings
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
語言英文
ISSN0021-2172; 1565-8511
期刊性質國外
收錄於SCI;
產學合作
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審稿制度
國別以色列
公開徵稿
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