On Deligne's conjecture for symmetric fifth L-functions of modular forms

被引：1

作者：

Chen, Shih-Yu ^{[1
]}

机构：

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

来源：

FORUM MATHEMATICUM | 2022年 / 34卷 / 03期

关键词：

Deligne's conjecture; symmetric power L-functions; SPECIAL VALUES; AUTOMORPHIC-FORMS; ARITHMETIC PROPERTIES; ZETA-FUNCTIONS; REPRESENTATIONS; PRODUCTS; SQUARE; SERIES; 4TH;

D O I：

10.1515/forum-2021-0278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove Deligne's conjecture for symmetric fifth L-functions of elliptic newforms of weight greater than 5. As a consequence, we establish period relations between motivic periods associated to an elliptic newform and the Betti-Whittaker periods of its symmetric cube functorial lift to GL(4).

引用

页码：831 / 849

页数：19

共 46 条

[1] SPECIAL VALUES OF ADJOINT L-FUNCTIONS AND CONGRUENCES FOR AUTOMORPHIC FORMS ON GL(n) OVER A NUMBER FIELD
Balasubramanyam, Baskar
Raghuram, A.
[J]. AMERICAN JOURNAL OF MATHEMATICS, 2017, 139 (03) : 641 - 679
[2] A Family of Calabi-Yau Varieties and Potential Automorphy II
Barnet-Lamb, Tom
Geraghty, David
Harris, Michael
Taylor, Richard
[J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2011, 47 (01) : 29 - 98
[3] Bernstein J. N., 1976, USPEHI MAT NAUK, P1, DOI 10.1070/RM1976v031n03ABEH001532
[4] Blasius D, 1997, PAC J MATH, P53
[5] Borel A., 2000, CONTINUOUS COHOMOLOG, V67
[6] SOME RESULTS OF ATKIN AND LEHNER
CASSELMAN, W
[J]. MATHEMATISCHE ANNALEN, 1973, 201 (04) : 301 - 314
[7] Chen S.-Y., 2021, ALGEBRAICITY CRITICA
[8] Algebraicity of the near central non-critical values of symmetric fourth L-functions for Hilbert modular forms
Chen, Shih-Yu
[J]. JOURNAL OF NUMBER THEORY, 2022, 231 : 269 - 315
[9] CLOZEL L., 1990, AUTOMORPHIC FORMS SH, V10, P77
[10] LEVEL-RAISING AND SYMMETRIC POWER FUNCTORIALITY, III
Clozel, Laurent
Thorne, Jack A.
[J]. DUKE MATHEMATICAL JOURNAL, 2017, 166 (02) : 325 - 402

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