Congruences for Siegel modular forms

Dohoon Choi[1]; YoungJu Choie[2]; Olav K. Richter[3]

  • [1] Korea Aerospace University School of Liberal Arts and Sciences Goyang 412-791 (South Korea)
  • [2] Pohang University of Science and Technology Department of Mathematics Pohang 790-784 (South Korea)
  • [3] University of North Texas Department of Mathematics Denton, TX 76203 (USA)

Annales de l’institut Fourier (2011)

  • Volume: 61, Issue: 4, page 1455-1466
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Choi, Dohoon, Choie, YoungJu, and Richter, Olav K.. "Congruences for Siegel modular forms." Annales de l’institut Fourier 61.4 (2011): 1455-1466. <http://eudml.org/doc/219668>.

@article{Choi2011,
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.},
affiliation = {Korea Aerospace University School of Liberal Arts and Sciences Goyang 412-791 (South Korea); Pohang University of Science and Technology Department of Mathematics Pohang 790-784 (South Korea); University of North Texas Department of Mathematics Denton, TX 76203 (USA)},
author = {Choi, Dohoon, Choie, YoungJu, Richter, Olav K.},
journal = {Annales de l’institut Fourier},
keywords = {Congruences; Siegel modular forms; congruences},
language = {eng},
number = {4},
pages = {1455-1466},
publisher = {Association des Annales de l’institut Fourier},
title = {Congruences for Siegel modular forms},
url = {http://eudml.org/doc/219668},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Choi, Dohoon
AU - Choie, YoungJu
AU - Richter, Olav K.
TI - Congruences for Siegel modular forms
JO - Annales de l’institut Fourier
PY - 2011
PB - Association des Annales de l’institut Fourier
VL - 61
IS - 4
SP - 1455
EP - 1466
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.
LA - eng
KW - Congruences; Siegel modular forms; congruences
UR - http://eudml.org/doc/219668
ER -

References

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