Periods of automorphic forms: the case of (GLn+1 x GLn, GLn)

被引：19

作者：

Ichino, Atsushi ^{[1
]}

Yamana, Shunsuke ^{[2
]}

机构：

[1] Kyoto Univ, Dept Math, Sakyo Ku, Kyoto 6068502, Japan

[2] Kyushu Univ, Fac Math, Nishi Ku, Fukuoka 8190395, Japan

来源：

COMPOSITIO MATHEMATICA | 2015年 / 151卷 / 04期

关键词：

tensor product L-functions; Whittaker functions; Gan-Gross-Prasad conjecture; TRACE FORMULA; RESIDUAL SPECTRUM; REDUCTIVE GROUPS;

D O I：

10.1112/S0010437X14007362

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following Jacquet, Lapid and Rogawski, we define a regularized period of an automorphic form on GL(n+1) x GL(n) along the diagonal subgroup G(n) and express it in terms of the Rankin-Selberg integral of Jacquet, Piatetski-Shapiro and Shalika. This extends the theory of Rankin-Selberg integrals to all automorphic forms on GL(n+1) x GL(n).

引用

页码：665 / 712

页数：48

共 34 条

[1]

[Anonymous], 1992, PURE APPL MATH

[2]

[Anonymous], 1995, Une paraphrase de l'Ecriture A paraphrase of Scripture, DOI DOI 10.1017/CBO9780511470905

[3]

[Anonymous], 2014, Mathematical Problems in Engineering, DOI DOI 10.1155/2014/690589

[4]

[Anonymous], 2014, MATH PROBLEMS ENG

[5] ON THE INNER PRODUCT OF TRUNCATED EISENSTEIN SERIES [J].

ARTHUR, J .

DUKE MATHEMATICAL JOURNAL, 1982, 49 (01) :35-70

[6] THE TRACE FORMULA IN INVARIANT FORM [J].

ARTHUR, J .

ANNALS OF MATHEMATICS, 1981, 114 (01) :1-74

[7]

ARTHUR J, 1980, COMPOS MATH, V40, P87

[8] A MEASURE ON THE UNIPOTENT VARIETY [J].

ARTHUR, J .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1985, 37 (06) :1237-1274

[9] TRACE FORMULA FOR REDUCTIVE GROUPS .1. TERMS ASSOCIATED TO CLASSES IN G(Q) [J].

ARTHUR, JG .

DUKE MATHEMATICAL JOURNAL, 1978, 45 (04) :911-952

[10]

BERNSTEIN JN, 1984, LECT NOTES MATH, V1041, P50

← 1 2 3 4 →