International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 14726, 11 pages

On the Fourier expansions of Jacobi forms of half-integral weight

B. Ramakrishnan and Brundaban Sahu

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.


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.