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

Revista Matemática Iberoamericana (2000)

- Volume: 16, Issue: 3, page 571-596
- ISSN: 0213-2230

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topEie, Minking. "Jacobi-Eisenstein series of degree two over Cayley numbers.." Revista Matemática Iberoamericana 16.3 (2000): 571-596. <http://eudml.org/doc/39617>.

@article{Eie2000,

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.},

author = {Eie, Minking},

journal = {Revista Matemática Iberoamericana},

keywords = {Series de Eisenstein; Teoría de formas automórficas; Formas modulares; Cayley numbers; Jacobi forms; theta series; Jacobi-Eisenstein series; exceptional domain},

language = {eng},

number = {3},

pages = {571-596},

title = {Jacobi-Eisenstein series of degree two over Cayley numbers.},

url = {http://eudml.org/doc/39617},

volume = {16},

year = {2000},

}

TY - JOUR

AU - Eie, Minking

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

JO - Revista Matemática Iberoamericana

PY - 2000

VL - 16

IS - 3

SP - 571

EP - 596

AB - 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.

LA - eng

KW - Series de Eisenstein; Teoría de formas automórficas; Formas modulares; Cayley numbers; Jacobi forms; theta series; Jacobi-Eisenstein series; exceptional domain

UR - http://eudml.org/doc/39617

ER -