English

Preimages for the Shimura map on Hilbert modular forms

Number Theory 2014-09-26 v3

Abstract

In this article we give a method to construct preimages for the Shimura correspondence on Hilbert modular forms of odd and square-free level. The method relies in the ideas presented for the rational case by Pacetti and Tornar\'ia, and is such that the Fourier coefficients of the preimages constructed can be computed explicitly.

Keywords

Cite

@article{arxiv.1208.4011,
  title  = {Preimages for the Shimura map on Hilbert modular forms},
  author = {Nicolás Sirolli},
  journal= {arXiv preprint arXiv:1208.4011},
  year   = {2014}
}

Comments

Minor revision

R2 v1 2026-06-21T21:52:58.702Z