International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 18, Pages 14726, 11 p.
doi:10.1155/IJMMS/2006/14726

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

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.