English

Jacobi forms of degree one

Number Theory 2008-08-10 v4

Abstract

We show that a certain subspace of space of elliptic cusp forms is isomorphic as a Hecke module to a certain subspace of space of Jacobi cusp forms of degree one with matrix index by constructing an explicit lifting. This is a partial generalization of the work of Skoruppa and Zagier. This lifting is also related with the Ikeda lifting.

Keywords

Cite

@article{arxiv.0802.2139,
  title  = {Jacobi forms of degree one},
  author = {Shunsuke Yamana},
  journal= {arXiv preprint arXiv:0802.2139},
  year   = {2008}
}

Comments

49 pages of text

R2 v1 2026-06-21T10:12:49.456Z