## Fourier coefficients of Jacobi forms over Cayley numbers.(English)Zbl 0824.11032

In an earlier paper the author and the reviewer [The theory of Jacobi forms over the Cayley numbers, Trans. Am. Math. Soc. 342, 793-805 (1994)] explicitly studied Jacobi forms on $${\mathcal H} \times \mathbb{C}^ 8$$, where $${\mathcal H}$$ is the complex upper half-plane and $$\mathbb{C}^ 8$$ is realized in terms of the Cayley numbers over $$\mathbb{C}$$. In the paper under review the author investigates the attached Eisenstein series of weight $$k$$ and index $$m$$. The Fourier coefficients are calculated explicitly. They turn out to be finite products of certian geometric sums.
Reviewer: A.Krieg (Aachen)

### MSC:

 11F50 Jacobi forms 11F30 Fourier coefficients of automorphic forms
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