In this paper, we shall compute explicitly the Fourier coefficients of the Eisenstein series
which is a Jacobi form of weight and index defined on , the product of the upper half-plane and Cayley numbers over the complex field . The coefficient of with , has the form
Here is an elementary factor which depends only on , , and . Also for almost all . Indeed, one has if . An explicit formula for will be given in details. In particular, these Fourier coefficients are rational numbers.
Cite this article
Minking Eie, Fourier coefficients of Jacobi forms over Cayley numbers. Rev. Mat. Iberoam. 11 (1995), no. 1, pp. 125–142DOI 10.4171/RMI/168