A converse theorem for Jacobi cusp forms of degree two
Volume 189 / 2019
Acta Arithmetica 189 (2019), 223-262
MSC: Primary 11F50; Secondary 11F46, 11F37.
DOI: 10.4064/aa180402-11-7
Published online: 12 April 2019
Abstract
We establish a converse theorem for Jacobi cusp forms of degree two. The methods combine and generalize arguments given in works of Imai, Arakawa–Makino–Sato and Martin to a vectorial setting, and they are presented in a detailed manner. As an application we obtain a converse theorem for half-integral weight Siegel cusp forms of degree 2 in Kohnen’s plus space.
