Linear relations between modular forms for Г 0 + (p)

SoYoung Choi; Chang Heon Kim

Open Mathematics (2015)

  • Volume: 13, Issue: 1, page 1077-1094
  • ISSN: 2391-5455

Abstract

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We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.

How to cite

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SoYoung Choi, and Chang Heon Kim. " Linear relations between modular forms for Г 0 + (p) ." Open Mathematics 13.1 (2015): 1077-1094. <http://eudml.org/doc/275993>.

@article{SoYoungChoi2015,
abstract = {We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.},
author = {SoYoung Choi, Chang Heon Kim},
journal = {Open Mathematics},
keywords = {Weakly holomorphic modular forms; Hecke eigenforms; half-integral weight modular forms; weakly holomorphic modular forms; harmonic weak Maass forms; Poincaré series},
language = {eng},
number = {1},
pages = {1077-1094},
title = { Linear relations between modular forms for Г 0 + (p) },
url = {http://eudml.org/doc/275993},
volume = {13},
year = {2015},
}

TY - JOUR
AU - SoYoung Choi
AU - Chang Heon Kim
TI - Linear relations between modular forms for Г 0 + (p)
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - 1077
EP - 1094
AB - We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.
LA - eng
KW - Weakly holomorphic modular forms; Hecke eigenforms; half-integral weight modular forms; weakly holomorphic modular forms; harmonic weak Maass forms; Poincaré series
UR - http://eudml.org/doc/275993
ER -

References

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