Saito-kurokawa Lifts of Square-free Level

@inproceedings{Agarwal2014SaitokurokawaLO,
  title={Saito-kurokawa Lifts of Square-free Level},
  author={Mahesh K. Agarwal and Jim Brown},
  year={2014}
}
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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Referenced Papers

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Showing 1-10 of 37 references

Saito-Kurokawa liftings of level N and practical construction of Jacobi forms

  • T. Ibukiyama
  • Kyoto J. Math.,
  • 2012
Highly Influential
5 Excerpts

Functional equations of Eisenstein series of degree 2

  • T. Horie
  • Far East J. Math. Sci.,
  • 2000
Highly Influential
4 Excerpts

Skoruppa. A certain Dirichlet series attached to Siegel modular forms of degree two

  • N.P.W. Kohnen
  • Invent. Math.,
  • 1989
Highly Influential
6 Excerpts

Sur la conjecture de Saito-Kurokawa

  • D. Zagier
  • Boston-Basel-Stuttgart,
  • 1980
Highly Influential
4 Excerpts

Saito-Kurokawa lifts of square-free level and lower bounds on

  • M. Agarwal, J. Brown
  • Selmer groups. Math. Z.,
  • 2014
Highly Influential
4 Excerpts

Kurokawa lifts of square - free level and lower bounds on Selmer groups

  • M. Agarwal, - J.Brown.Saito
  • Math . Z .
  • 2014

The Saito-Kurokawa lifting and Darmon points

  • M. Longo, M.-H. Nicole
  • Math. Ann.,
  • 2013
2 Excerpts

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