Computations of Vector-Valued Siegel Modular Forms

@article{Ghitza2012ComputationsOV,
  title={Computations of Vector-Valued Siegel Modular Forms},
  author={Alexandru Ghitza and N. Ryan and David W. Sulon},
  journal={Journal of Number Theory},
  year={2012},
  volume={133},
  pages={3921-3940}
}
  • Alexandru Ghitza, N. Ryan, David W. Sulon
  • Published 2012
  • Mathematics
  • Journal of Number Theory
  • Abstract We carry out some computations of vector-valued Siegel modular forms of degree two, weight ( k , 2 ) and level one, and highlight three experimental results: (1) we identify a rational eigenform in a three-dimensional space of cusp forms; (2) we observe that non-cuspidal eigenforms of level one are not always rational; (3) we verify a number of cases of conjectures about congruences between classical modular forms and Siegel modular forms. Our approach is based on Satohʼs description… CONTINUE READING
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