International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 14726, 11 pages
doi:10.1155/IJMMS/2006/14726
On the Fourier expansions of Jacobi forms of half-integral weight
Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India
Received 23 March 2006; Revised 29 September 2006; Accepted 2 October 2006
Copyright © 2006 B. Ramakrishnan and Brundaban Sahu. 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
Using the relationship between Jacobi forms of half-integral weight and
vector valued modular forms, we obtain the number of components which
determine the given Jacobi form of index p, p2 or pq, where p and q are odd primes.