Congruences for siegel modular forms

Dohoon Choi; Young Ju Choie; Olav K. Richter

doi:10.5802/aif.2646

Congruences for siegel modular forms

Dohoon Choi, Young Ju Choie, Olav K. Richter

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We employ recent results on Jacobi forms to investigate congruences and filtrations of Siegel modular forms of degree 2. In particular, we determine when an analog of Atkin's U(p)-operator applied to a Siegel modular form of degree 2 is nonzero modulo a prime p. Furthermore, we discuss explicit examples to illustrate our results.

Original language	English
Pages (from-to)	1455-1466
Number of pages	12
Journal	Annales de l'Institut Fourier
Volume	61
Issue number	4
DOIs	https://doi.org/10.5802/aif.2646
Publication status	Published - 2011
Externally published	Yes

Keywords

Congruences
Siegel modular forms

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

Access to Document

10.5802/aif.2646

Cite this

@article{3b4a862355c640c8bd001c4273099458,

title = "Congruences for siegel modular forms",

abstract = "We employ recent results on Jacobi forms to investigate congruences and filtrations of Siegel modular forms of degree 2. In particular, we determine when an analog of Atkin's U(p)-operator applied to a Siegel modular form of degree 2 is nonzero modulo a prime p. Furthermore, we discuss explicit examples to illustrate our results.",

keywords = "Congruences, Siegel modular forms",

author = "Dohoon Choi and Choie, {Young Ju} and Richter, {Olav K.}",

year = "2011",

doi = "10.5802/aif.2646",

language = "English",

volume = "61",

pages = "1455--1466",

journal = "Annales de l'Institut Fourier",

issn = "0373-0956",

publisher = "Association des Annales de l'Institut Fourier",

number = "4",

}

TY - JOUR

T1 - Congruences for siegel modular forms

AU - Choi, Dohoon

AU - Choie, Young Ju

AU - Richter, Olav K.

PY - 2011

Y1 - 2011

N2 - We employ recent results on Jacobi forms to investigate congruences and filtrations of Siegel modular forms of degree 2. In particular, we determine when an analog of Atkin's U(p)-operator applied to a Siegel modular form of degree 2 is nonzero modulo a prime p. Furthermore, we discuss explicit examples to illustrate our results.

AB - We employ recent results on Jacobi forms to investigate congruences and filtrations of Siegel modular forms of degree 2. In particular, we determine when an analog of Atkin's U(p)-operator applied to a Siegel modular form of degree 2 is nonzero modulo a prime p. Furthermore, we discuss explicit examples to illustrate our results.

KW - Congruences

KW - Siegel modular forms

UR - http://www.scopus.com/inward/record.url?scp=84856483114&partnerID=8YFLogxK

U2 - 10.5802/aif.2646

DO - 10.5802/aif.2646

M3 - Article

AN - SCOPUS:84856483114

SN - 0373-0956

VL - 61

SP - 1455

EP - 1466

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

IS - 4

ER -

Congruences for siegel modular forms

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this