LIFTING FROM TWO ELLIPTIC MODULAR FORMS TO SIEGEL MODULAR FORMS OF HALF-INTEGRAL WEIGHT OF EVEN DEGREE

被引：0

作者：

Hayashida, Shuichi ^{[1
]}

机构：

[1] Joetsu Univ Educ, Dept Math, 1 Yamayashikimachi, Niigata 9438512, Japan

来源：

DOCUMENTA MATHEMATICA | 2016年 / 21卷

关键词：

Siegel modular forms; Jacobi forms; Maass relation; CUSP FORMS; CONJECTURE; SERIES; GENUS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to construct lifts from two elliptic modular forms to Siegel modular forms of half-integral weight of even degree under the assumption that the constructed Siegel modular form is not identically zero. The key ingredient of the proof is a new Maass relation for Siegel modular forms of half-integral weight and any degree.

引用

页码：125 / 196

页数：72

共 50 条

[21] ON HILBERT MODULAR-FORMS OF HALF-INTEGRAL WEIGHT
SHIMURA, G
DUKE MATHEMATICAL JOURNAL, 1987, 55 (04) : 765 - 838
[22] A canonical subspace of modular forms of half-integral weight
Gun, Sanoli
Manickam, M.
Ramakrishnan, B.
MATHEMATISCHE ANNALEN, 2010, 347 (04) : 899 - 916
[23] FAST COMPUTATION OF HALF-INTEGRAL WEIGHT MODULAR FORMS
Inam, Ilker
Wiese, Gabor
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (04) : 1395 - 1401
[24] DIAGONALISING MODULAR-FORMS OF HALF-INTEGRAL WEIGHT
MANICKAM, M
RAMAKRISHNAN, B
VASUDEVAN, TC
JOURNAL OF NUMBER THEORY, 1992, 40 (01) : 32 - 37
[25] A canonical subspace of modular forms of half-integral weight
Sanoli Gun
M. Manickam
B. Ramakrishnan
Mathematische Annalen, 2010, 347 : 899 - 916
[26] ON THE FOURIER COEFFICIENTS OF MODULAR FORMS OF HALF-INTEGRAL WEIGHT
Choie, Young Ju
Kohnen, Winfried
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2013, 9 (08) : 1879 - 1883
[27] Supnorm of modular forms of half-integral weight in the weight aspect
Steiner, Raphael S.
ACTA ARITHMETICA, 2017, 177 (03) : 201 - 218
[28] Signs of Fourier coefficients of half-integral weight modular forms
Lester, Stephen
Radziwill, Maksym
MATHEMATISCHE ANNALEN, 2021, 379 (3-4) : 1553 - 1604
[29] FOURIER COEFFICIENTS OF MODULAR-FORMS OF HALF-INTEGRAL WEIGHT
IWANIEC, H
INVENTIONES MATHEMATICAE, 1987, 87 (02) : 385 - 401
[30] Half-integral weight Eichler integrals and quantum modular forms
Bringmann, Kathrin
Rolen, Larry
JOURNAL OF NUMBER THEORY, 2016, 161 : 240 - 254

← 1 2 3 4 5 →