Jacobi forms of degree one

2008/02/15 by Yamana, Shunsuke
#11F50 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0802.2139

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.

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