Jacobi-Eisenstein series of degree two over Cayley numbers

Autores: Minking Eie
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 16, Nº 3, 2000, págs. 571-596
Idioma: inglés
DOI: 10.4171/rmi/284
Títulos paralelos:
- Series de Jacobi-Eisenstein de segundo grado sobre números de Cayley.
Enlaces
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Resumen
- 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 formu1a of a set of theta series.