Siegel modular forms of half integral weight and a lifting conjecture

被引：7

作者：

Hayashida, S

Ibukiyama, T

机构：

[1] Univ Siegen, Fachbereich Math, D-57068 Siegen, Germany

[2] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

来源：

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2005年 / 45卷 / 03期

关键词：

D O I：

10.1215/kjm/1250281971

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A conjecture on lifting to Siegel cusp forms of half-integral weight k - 1/2 of degree two front each pair of cusp forms of SL2 (Z) Of Weight 2k - 2 and 2k - 4 is given with a conjectural relation of the L functions and numerical evidences. We also describe the space of Siegel modular forms of half-integral weight, its "plus subspace," and Jacobi forms of degree two by explicitly given theta functions.

引用

页码：489 / 530

页数：42

共 50 条

[1] Lifting modular forms of half-integral weight to Siegel modular forms of even genus
Winfried Kohnen
Mathematische Annalen, 2002, 322 : 787 - 809
[2] Lifting modular forms of half-integral weight to Siegel modular forms of even genus
Kohnen, W
MATHEMATISCHE ANNALEN, 2002, 322 (04) : 787 - 809
[3] On the Shintani lifting of integral weight modular forms to half-integral weight modular forms
Zhang, Di
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2025, 21 (01) : 1 - 21
[4] LIFTING FROM TWO ELLIPTIC MODULAR FORMS TO SIEGEL MODULAR FORMS OF HALF-INTEGRAL WEIGHT OF EVEN DEGREE
Hayashida, Shuichi
DOCUMENTA MATHEMATICA, 2016, 21 : 125 - 196
[5] A certain relation between Jacobi forms of half integral weight and Siegel modular forms of integral weight
Yokoi, K
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2001, 71 (1): : 91 - 103
[6] 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
[7] MODULAR DESCENT OF SIEGEL MODULAR-FORMS OF HALF INTEGRAL WEIGHT AND AN ANALOGY OF THE MAASS RELATION
TANIGAWA, Y
NAGOYA MATHEMATICAL JOURNAL, 1986, 102 : 51 - 77
[8] Lifting Siegel modular forms
Stroh, Benoit
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (09) : 3089 - 3094
[9] On the Ramanujan-Petersson conjecture for modular forms of half-integral weight
Gun, Sanoli
Kohnen, Winfried
FORUM MATHEMATICUM, 2019, 31 (03) : 703 - 711
[10] Determining Siegel modular forms of half-integral weight by their fundamental Fourier coefficients
Jha, Abhash Kumar
ACTA ARITHMETICA, 2020, 195 (03) : 269 - 279

← 1 2 3 4 5 →