Theta series, Eisenstein series and Poincare series over function fields

被引：1

作者：

Pál, A ^{[1
]}

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2004年 / 56卷 / 02期

关键词：

D O I：

10.4153/CJM-2004-019-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct analogues of theta series, Eisenstein series and Poincare series for function fields of one variable over finite fields, and prove their basic properties.

引用

页码：406 / 430

页数：25

共 25 条

[11] CONDUCTOR OF REPRESENTATIONS OF THE LINEAR GROUP [J].

JACQUET, H ;

PIATETSKISHAPIRO, II ;

SHALIKA, J .

MATHEMATISCHE ANNALEN, 1981, 256 (02) :199-214

[12]

Jacquet H., 1970, Automorphic forms on gl (2): Part 1 (lecture notes in mathematics)

[13]

LANG S, 1970, ALGEBRAIC NUMBER THE

[14] EISENSTEIN SERIES AND DECOMPOSITION THEORY OVER FUNCTION-FIELDS [J].

LI, WCW .

MATHEMATISCHE ANNALEN, 1979, 240 (02) :115-139

[15]

Rck H.-G., 2000, DOC MATH, V5, P365

[16] Poincare series of Drinfeld type [J].

Ruck, HG .

ARCHIV DER MATHEMATIK, 1997, 68 (03) :190-201

[17]

RUCK HG, 1995, MANUSCRIPTA MATH, V88, P385

[18]

RUCK HG, 1997, DRINFIELD MODULES MO, P311

[19]

SERRE JP, 1971, CORPS LOCAUX

[20]

WEIL A, 1979, SOME EXPONENTIAL SUM, V1, P386

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