Saito-kurokawa Lifts of Square-free Level

  title={Saito-kurokawa Lifts of Square-free Level},
  author={Mahesh K. Agarwal and Jim Brown},
Let f ∈ S2κ−2(Γ0(M)) be a Hecke eigenform with κ ≥ 2 even and M ≥ 1 and odd and square-free. In this paper we survey the construction of the Saito-Kurokawa lifting from the classical point of view. We also provide some arithmetic results on the Fourier coefficients of Saito-Kurokawa liftings. We then calculate the norm of the SaitoKurokawa lift. 

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