Poincare series of Drinfeld type

被引：2

作者：

Ruck, HG

机构：

[1] Inst. für Experimentelle Math., Universität GH Essen, D-45326 Essen

来源：

ARCHIV DER MATHEMATIK | 1997年 / 68卷 / 03期

关键词：

11 R 58; 11 F 99;

D O I：

10.1007/s000130050049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be the rational function field F-q(t). We construct Poincare series on the Bruhat-Tits tree of GL(2) over K-infinity and show that they generate the space of automorphic cusp forms of Drinfeld type.

引用

页码：190 / 201

页数：12

共 50 条

[21] On Poincare series on Sp(m)
Dabrowski, A
MATHEMATISCHE ZEITSCHRIFT, 1996, 221 (04) : 573 - 589
[22] POINCARE SERIES OF EMBEDDED FILTRATIONS
Lemahieu, Ann
MATHEMATICAL RESEARCH LETTERS, 2011, 18 (05) : 815 - 825
[23] MONODROMY GROUPS AND POINCARE SERIES
HEJHAL, DA
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 84 (03) : 339 - 376
[24] Poincare series of surface singularities
Cutkosky, SD
COMMUTATIVE ALGEBRA: GEOMETRIC, HOMOLOGICAL, COMBINATORIAL AND COMPUTATIONAL ASPECTS, 2006, 244 : 49 - 57
[25] NONVANISHING OF JACOBI POINCARE SERIES
Das, Soumya
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 89 (02) : 165 - 179
[26] POINCARE SERIES FOR KLEINIAN GROUPS
BERS, L
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1973, 26 (5-6) : 667 - 672
[27] EXPONENT OF CONVERGENCE OF POINCARE SERIES
MACBEATH, AM
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1976, 14 (NOV): : 203 - 206
[28] CUSP FORMS AND POINCARE SERIES
DRASIN, D
AMERICAN JOURNAL OF MATHEMATICS, 1968, 90 (02) : 356 - &
[29] Applications of hypercomplex Poincare series to Bergman spaces of hyperbolic polyhedron type domains
Bringmann, K
Constales, D
Krausshar, RS
ICNAAM 2004: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2004, 2004, : 490 - 492
[30] A Poincare series on hyperbolic space
Basak, Tathagata
ADVANCES IN APPLIED MATHEMATICS, 2018, 95 : 177 - 198

← 1 2 3 4 5 →