### Jacobi-Eisenstein series of degree two over Cayley numbers.

Minking Eie (2000)

Revista Matemática Iberoamericana

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We shall develop the general theory of Jacobi forms of degree two over Cayley numbers and then construct a family of Jacobi- Eisenstein series which forms the orthogonal complement of the vector space of Jacobi cusp forms of degree two over Cayley numbers. The construction is based on a group representation arising from the transformation formula of a set of theta series.