Simple zeros of automorphic L-functions

被引：7

作者：

Booker, Andrew R. ^{[1
]}

Cho, Peter J. ^{[2
]}

Kim, Myoungil ^{[2
]}

机构：

[1] Univ Bristol, Sch Math, Univ Walk, Bristol BS8 1TW, Avon, England

[2] Ulsan Natl Inst Sci & Technol, Dept Math Sci, Ulsan, South Korea

来源：

COMPOSITIO MATHEMATICA | 2019年 / 155卷 / 06期

基金：

新加坡国家研究基金会; 英国工程与自然科学研究理事会;

关键词：

THEOREM;

D O I：

10.1112/S0010437X19007279

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the complete L-function associated to any cuspidal automorphic representation of GL(2)(A(Q)) has infinitely many simple zeros.

引用

页码：1224 / 1243

页数：20

共 10 条

[1] Rapid computation of L-functions attached to Maass forms [J].

Booker, Andrew R. ;

Then, Holger .

INTERNATIONAL JOURNAL OF NUMBER THEORY, 2018, 14 (05) :1459-1485

[2] Simple zeros of degree 2 L-functions [J].

Booker, Andrew R. .

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2016, 18 (04) :813-823

[3] A strengthening of the GL(2) converse theorem [J].

Booker, Andrew R. ;

Krishnamurthy, M. .

COMPOSITIO MATHEMATICA, 2011, 147 (03) :669-715

[4] SIMPLE ZEROS OF MAASS L-FUNCTIONS [J].

Cho, Peter Jaehyun .

INTERNATIONAL JOURNAL OF NUMBER THEORY, 2013, 9 (01) :167-178

[5] SIMPLE ZEROS OF THE RAMANUJAN TAU-DIRICHLET SERIES [J].

CONREY, JB ;

GHOSH, A .

INVENTIONES MATHEMATICAE, 1988, 94 (02) :403-419

[6] The subconvexity problem for Artin L-functions [J].

Duke, W ;

Friedlander, JB ;

Iwaniec, H .

INVENTIONES MATHEMATICAE, 2002, 149 (03) :489-577

[7]

Gradshteyn I.S., 2015, TABLE INTEGRALS SERI, DOI DOI 10.1016/C2010-0-64839-5

[8] NON-VANISHING THEOREM FOR ZETA FUNCTIONS OF GLN [J].

JACQUET, H ;

SHALIKA, JA .

INVENTIONES MATHEMATICAE, 1976, 38 (01) :1-16

[9] Functoriality for the exterior square of GL4 and the symmetric fourth of GL2 [J].

Kim, HH ;

Ramakrishnan, D ;

Sarnak, P .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 16 (01) :139-183

[10]

Liu J, 2007, PURE APPL MATH Q, V3, P481

← 1 →