Lifting congruences to half-integral weight

被引：1

作者：

Dummigan, Neil ^{[1
]}

机构：

[1] Univ Sheffield, Sch Math & Stat, Hicks Bldg,Hounsfield Rd, Sheffield S3 7RH, S Yorkshire, England

来源：

RESEARCH IN NUMBER THEORY | 2022年 / 8卷 / 03期

关键词：

Modular forms of half-integral weight; Saito-Kurokawa lifts; Congruences of modular forms; MODULAR-FORMS; CONJECTURE; VALUES;

D O I：

10.1007/s40993-022-00356-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a congruence of Hecke eigenvalues between newforms f and g of odd, square free level, and weight 2 kappa - 2, with even kappa >= 6, we show that, under weak conditions, there is a congruence of Fourier coefficients between corresponding newforms of half-integral weight.

引用

页数：11

共 34 条

[1] Saito-Kurokawa lifts of square-free level [J].

Agarwal, Mahesh ;

Brown, Jim .

KYOTO JOURNAL OF MATHEMATICS, 2015, 55 (03) :641-662

[2] On the Bloch-Kato conjecture for elliptic modular forms of square-free level [J].

Agarwal, Mahesh ;

Brown, Jim .

MATHEMATISCHE ZEITSCHRIFT, 2014, 276 (3-4) :889-924

[3]

Bellaiche J., 2021, EIGENBOOK EIGENVARIE, DOI [10.1007/978-3-030-77263-5, DOI 10.1007/978-3-030-77263-5]

[4] Explicit large image theorems for modular forms [J].

Billerey, Nicolas ;

Dieulefait, Luis V. .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2014, 89 :499-523

[5]

BLOCH S., 1990, GROTHENDIECK FESTSCH, V86, P333

[6] The Magma algebra system .1. The user language [J].

Bosma, W ;

Cannon, J ;

Playoust, C .

JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (3-4) :235-265

[7]

Conrey JB., 2002, FREQUENCY VANISHING, P303

[8]

Deligne P., 1979, P S PURE MATH 2, V33, P313

[9]

Deligne P, 1969, FORMES MODULAIRES RE, P139

[10] The Tamagawa number conjecture of adjoint motives of modular forms [J].

Diamond, F ;

Flach, M ;

Guo, L .

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2004, 37 (05) :663-727

← 1 2 3 4 →