JournalsrmiVol. 16, No. 3pp. 571–596

Jacobi-Eisenstein series of degree two over Cayley numbers

  • Minking Eie

    National Chung Cheng University, Chia-Yi, Taiwan
Jacobi-Eisenstein series of degree two over Cayley numbers cover

Abstract

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.

Cite this article

Minking Eie, Jacobi-Eisenstein series of degree two over Cayley numbers. Rev. Mat. Iberoam. 16 (2000), no. 3, pp. 571–596

DOI 10.4171/RMI/284