Non-vanishing of Hilbert Poincare series

被引：0

作者：

Kumari, Moni ^{[1
]}

机构：

[1] Natl Inst Sci Educ & Res, HBNI, Via Jatni, Khurja 752050, Odisha, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 466卷 / 02期

关键词：

Hilbert modular forms; Poincare series; Non-vanishing;

D O I：

10.1016/j.jmaa.2018.06.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some non-vanishing results of Hilbert Poincare series. We derive these results, by showing that the Fourier coefficients of Hilbert Poincare series satisfy some nice orthogonality relations for sufficiently large weight as well as for sufficiently large level. To prove later results, we generalize a method of E. Kowalski et al. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1476 / 1485

页数：10

共 50 条

[31] ON THE NON-VANISHING OF EULER PRODUCTS
WIENER, N
WINTNER, A
AMERICAN JOURNAL OF MATHEMATICS, 1957, 79 (04) : 801 - 808
[32] MAPPINGS WITH NON-VANISHING JACOBIAN
KESTELMAN, H
AMERICAN MATHEMATICAL MONTHLY, 1971, 78 (06): : 662 - +
[33] On a non-vanishing ext.
Fuchs, L
Shelah, S
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2003, 109 : 235 - 239
[34] Remarks on the non-vanishing conjecture
Gongyo, Yoshinori
ALGEBRAIC GEOMETRY IN EAST ASIA - TAIPEI 2011, 2015, 65 : 107 - 116
[35] Simultaneous non-vanishing of twists
Akbary, Amir
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (11) : 3143 - 3151
[36] Subconvexity for a double Dirichlet series and non-vanishing of L-functions
Dahl, Alexander
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2018, 14 (06) : 1573 - 1604
[37] Non-vanishing of derivatives of L-functions of Hilbert modular forms in the critical strip
Hamieh, Alia
Raji, Wissam
RESEARCH IN NUMBER THEORY, 2021, 7 (02)
[38] Non-vanishing of L-functions of Hilbert modular forms inside the critical strip
Hamieh, Alia
Raji, Wissam
ACTA ARITHMETICA, 2018, 185 (04) : 333 - 346
[39] Non-vanishing of derivatives of L-functions of Hilbert modular forms in the critical strip
Alia Hamieh
Wissam Raji
Research in Number Theory, 2021, 7
[40] Non-vanishing elements in finite groups
Brough, Julian
JOURNAL OF ALGEBRA, 2016, 460 : 387 - 391

← 1 2 3 4 5 →