Gamma factors for the Asai cube representation

被引：4

作者：

Chen, Shih-Yu ^{[1
]}

机构：

[1] Acad Sinica, Inst Math, 6F Astron Math Bldg,1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2021年 / 297卷 / 1-2期

关键词：

SERIES;

D O I：

10.1007/s00209-020-02531-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an equality between the gamma factors for the Asai cube representation of R(E/F)GL(2) defined by the Weil-Deligne representations and by the local zeta integrals of Ikeda and Piatetski-Shapiro-Rallis, where E is an etale cubic algebra over a local field F of characteristic zero.

引用

页码：747 / 773

页数：27

共 19 条

[1]

[Anonymous], 2018, ARXIV181200053

[2]

Borel A., 1979, Automorphic Forms, Representations and -Functions, VXXXIII, P27

[3]

Bushnell C.J., 2006, SERIES COMPREHENSIVE, V335

[4]

Chen S.-Y., 2019, ARXIV190206429

[5] Gamma factors for the Asai representation of GL2 [J].

Chen, Shih-Yu ;

Cheng, Yao ;

Ishikawa, Isao .

JOURNAL OF NUMBER THEORY, 2020, 209 :83-146

[6] LIMIT MULTIPLICITIES FOR PRINCIPAL CONGRUENCE SUBGROUPS OF GL(n) AND SL(n) [J].

Finis, Tobias ;

Lapid, Erez ;

Mueller, Werner .

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2015, 14 (03) :589-638

[7] DECOMPOSITION OF EISENSTEIN SERIES - RANKIN TRIPLE PRODUCTS [J].

GARRETT, PB .

ANNALS OF MATHEMATICS, 1987, 125 (02) :209-235

[8]

Henniart G., 2018, ARXIV170101516V3

[9] ON THE FUNCTIONAL-EQUATIONS OF THE TRIPLE L-FUNCTIONS [J].

IKEDA, T .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1989, 29 (02) :175-219

[10]

IKEDA T, 1992, COMPOS MATH, V83, P187

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