International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 31542, 14 pages
doi:10.1155/IJMMS/2006/31542
Mixed Jacobi-like forms of several variables
Department of Mathematics, University of
Northern Iowa, Cedar Falls 50614-0506, IA, USA
Received 4 November 2005; Accepted 26 March 2006
Copyright © 2006 Min Ho Lee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We study mixed Jacobi-like forms of several variables associated
to equivariant maps of the Poincaré upper half-plane in
connection with usual Jacobi-like forms, Hilbert modular forms,
and mixed automorphic forms. We also construct a lifting of a
mixed automorphic form to such a mixed Jacobi-like form.