Jacobi-Eisenstein series of degree two over Cayley numbers.

Eie, 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 -