Revista Matemática Iberoamericana


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Volume 16, Issue 3, 2000, pp. 571–596
DOI: 10.4171/RMI/284

Published online: 2000-12-31

Jacobi-Eisenstein series of degree two over Cayley numbers

Minking Eie[1]

(1) National Chung Cheng University, Chia-Yi, Taiwan

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.

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Eie Minking: Jacobi-Eisenstein series of degree two over Cayley numbers. Rev. Mat. Iberoam. 16 (2000), 571-596. doi: 10.4171/RMI/284