On the analogue of Weil’s converse theorem for Jacobi forms and their lift to half-integral weight modular forms

被引：0

作者：

Yves Martin

Denis Osses

机构：

[1] Universidad de Chile,Departamento de Matemáticas, Facultad de Ciencias

来源：

The Ramanujan Journal | 2011年 / 26卷

关键词：

Jacobi forms; Dirichlet series; Functional equations; 11F50; 11F37; 11F66;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We generalize Weil’s converse theorem to Jacobi cusp forms of weight k, index m and Dirichlet character χ over the group Γ0(N)⋉ℤ2. Then two applications of this result are given; we generalize a construction of Jacobi forms due to Skogman and present a new proof for several known lifts of such Jacobi forms to half-integral weight modular forms.

引用

页码：155 / 183

页数：28

共 50 条

[41] Congruences for Γ1(4)-modular forms of half-integral weight
Alexandru Tupan
The Ramanujan Journal, 2006, 11 : 165 - 173
[42] Signs of Fourier coefficients of half-integral weight modular forms
Stephen Lester
Maksym Radziwiłł
Mathematische Annalen, 2021, 379 : 1553 - 1604
[43] PERIODICITIES FOR TAYLOR COEFFICIENTS OF HALF-INTEGRAL WEIGHT MODULAR FORMS
Guerzhoy, Pavel
Mertens, Michael H.
Rolen, Larry
PACIFIC JOURNAL OF MATHEMATICS, 2020, 307 (01) : 137 - 157
[44] Effective construction of Hilbert modular forms of half-integral weight
Sirolli, Nicolas
Tornaria, Gonzalo
MATHEMATISCHE ZEITSCHRIFT, 2022, 302 (04) : 2513 - 2543
[45] HECKE OPERATORS ON MODULAR-FORMS OF HALF-INTEGRAL WEIGHT
MANICKAM, M
RAMAKRISHNAN, B
VASUDEVAN, TC
ARCHIV DER MATHEMATIK, 1988, 51 (04) : 343 - 352
[46] FOURIER COEFFICIENTS OF MODULAR-FORMS OF HALF-INTEGRAL WEIGHT
KOHNEN, W
MATHEMATISCHE ANNALEN, 1985, 271 (02) : 237 - 268
[47] DISTINGUISHED REPRESENTATIONS AND MODULAR-FORMS OF HALF-INTEGRAL WEIGHT
GELBART, S
PIATETSKISHAPIRO, II
INVENTIONES MATHEMATICAE, 1980, 59 (02) : 145 - 188
[48] Coefficients of half-integral weight modular forms modulo lj
Ahlgren, S
Boylan, M
MATHEMATISCHE ANNALEN, 2005, 331 (01) : 219 - +
[49] An Eichler-Zagier map for Jacobi forms of half-integral weight
Manickam, M.
Ramakrishnan, B.
PACIFIC JOURNAL OF MATHEMATICS, 2006, 227 (01) : 143 - 150
[50] A certain relation between Jacobi forms of half integral weight and siegel modular forms of integral weight
K. Yokoi
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2001, 71 : 91 - 103

← 1 2 3 4 5 →