An Eichler–Zagier map for Jacobi forms of half-integral weight

M. Manickam and B. Ramakrishnan

Vol. 227 (2006), No. 1, 143–150

DOI: 10.2140/pjm.2006.227.143

Abstract

We construct an Eichler–Zagier map for Jacobi cusp forms of half-integral weight. As an application, we show there exists no Hecke-equivariant map from index $1$ to index $p$ ($p$ prime), when the weight is half-integral.

Keywords

Modular forms, Siegel modular forms, Jacobi forms

Mathematical Subject Classification 2000

Primary: 11F11, 11F50

Secondary: 11F37

Milestones

Received: 1 November 2004

Accepted: 8 January 2006

Published: 1 September 2006