Surjectivity of Siegel -operator for square free level and small weight
Siegfried Böcherer, Tomoyoshi Ibukiyama (2012)
Annales de l’institut Fourier
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We show the surjectivity of the (global) Siegel -operator for modular forms for certain congruence subgroups of and weight , where the standard techniques (Poincaré series or Klingen-Eisenstein series) are no longer available. Our main tools are theta series and genus versions of basis problems.