Periods of automorphic forms, poles of L-functions and functorial lifting

被引：11
|
作者：
Ginzburg, David [2 ]
Jiang DiHua [1 ]
Soudry, David [2 ]
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] Tel Aviv Univ, Sch Math Sci, Sackler Fac Exact Sci, IL-69978 Tel Aviv, Israel
来源：
SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 09期
基金：
美国国家科学基金会;
关键词：
period of automorphic forms; L-functions; Langlands functoriality; SPIN L-FUNCTIONS; CUSP FORMS; REPRESENTATIONS; CONJECTURE; GL(2N); PROOF;
D O I：
10.1007/s11425-010-4020-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we survey our work on period, poles or special values of certain automorphic L-functions and their relations to certain types of Langlands functorial transfers. We outline proofs for some results and leave others as conjectures.
引用
收藏
页码：2215 / 2238
页数：24
相关论文
共 50 条
  • [31] On a certain sum of automorphic L-functions
    Chau, Ngo Bao
    AUTOMORPHIC FORMS AND RELATED GEOMETRY: ASSESSING THE LEGACY OF I.I. PIATETSKI-SHAPIRO, 2014, 614 : 337 - 343
  • [32] Correlation of zeros of automorphic L-functions
    Liu JianYa
    Ye YangBo
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (07): : 1147 - 1166
  • [33] EXPLICIT CONSTRUCTIONS OF AUTOMORPHIC L-FUNCTIONS
    GELBART, S
    PIATETSKISHAPIRO, I
    RALLIS, S
    LECTURE NOTES IN MATHEMATICS, 1987, 1254 : 2 - 146
  • [34] On the Selberg orthogonality for automorphic L-functions
    Avdispahic, Muharem
    Smajlovic, Lejla
    ARCHIV DER MATHEMATIK, 2010, 94 (02) : 147 - 154
  • [35] Integral moments of automorphic L-functions
    Tang, Hengcai
    Xiao, Xuanxuan
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2016, 12 (07) : 1827 - 1843
  • [36] THE SPECTRAL GROWTH OF AUTOMORPHIC L-FUNCTIONS
    IWANIEC, H
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1992, 428 : 139 - 159
  • [37] Twisted moments of automorphic L-functions
    Lau, Yuk-Kam
    Royer, Emmanuel
    Wu, Jie
    JOURNAL OF NUMBER THEORY, 2010, 130 (12) : 2773 - 2802
  • [38] ON AUTOMORPHIC L-FUNCTIONS IN POSITIVE CHARACTERISTIC
    Lomeli, Luis Alberto
    ANNALES DE L INSTITUT FOURIER, 2016, 66 (05) : 1733 - 1771
  • [39] On small zeros of automorphic L-functions
    Omar, Sami
    COMPTES RENDUS MATHEMATIQUE, 2014, 352 (7-8) : 551 - 556
  • [40] The sixth moment of automorphic L-functions
    Chandee, Vorrapan
    Li, Xiannan
    ALGEBRA & NUMBER THEORY, 2017, 11 (03) : 583 - 633
12345