Eisenstein series for SL(2)

被引:0
|
作者
Stephen S. Kudla
TongHai Yang
机构
[1] University of Toronto,Department of Mathematics
[2] University of Wisconsin Madison,Department of Mathematics
来源
Science China Mathematics | 2010年 / 53卷
关键词
Eisenstein series; local Whittaker functions; Weil representation; derivative; 11G15; 11F41; 14K22;
D O I
暂无
中图分类号
学科分类号
摘要
This paper gives explicit formulas for the Fourier expansion of general Eisenstein series and local Whittaker functions over SL2. They are used to compute both the value and derivatives of these functions at critical points.
引用
收藏
页码:2275 / 2316
页数:41
相关论文
共 50 条
  • [41] Periods of Eisenstein series
    Lapid, E
    Rogawski, J
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 333 (06): : 513 - 516
  • [42] Eisenstein series and approximations to π
    Berndt, BC
    Chan, HH
    ILLINOIS JOURNAL OF MATHEMATICS, 2001, 45 (01) : 75 - 90
  • [43] Monomials of Eisenstein series
    Griffin, Trevor
    Kenshur, Nathan
    Price, Abigail
    Vandenberg-Daves, Bradshaw
    Xue, Hui
    Zhu, Daozhou
    JOURNAL OF NUMBER THEORY, 2021, 219 : 445 - 459
  • [44] A fresh approach to classical Eisenstein series and the newer Hilbert-Eisenstein series
    Butzer, Paul L.
    Pogany, Tibor K.
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (04) : 885 - 911
  • [45] Sixteen Eisenstein series
    Cooper, Shaun
    Lam, Heung Yeung
    RAMANUJAN JOURNAL, 2009, 18 (01): : 33 - 59
  • [46] SCHUBERT EISENSTEIN SERIES
    Bump, Daniel
    Choie, YoungJu
    AMERICAN JOURNAL OF MATHEMATICS, 2014, 136 (06) : 1581 - 1608
  • [47] Analogues of the Hurwitz Formulas for Level 2 Eisenstein Series
    Hirofumi Tsumura
    Results in Mathematics, 2010, 58 : 365 - 378
  • [48] On Eisenstein series on quaternion unitary groups of degree 2
    Hirai, Y
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1999, 51 (01) : 93 - 128
  • [49] On the local L2-Bound of the Eisenstein series
    Jana, Subhajit
    Kamber, Amitay
    FORUM OF MATHEMATICS SIGMA, 2024, 12
  • [50] Analogues of the Hurwitz Formulas for Level 2 Eisenstein Series
    Tsumura, Hirofumi
    RESULTS IN MATHEMATICS, 2010, 58 (3-4) : 365 - 378