On the dimension of some spaces of generalized theta-series

Author:

Edmundas GAIGALAS

AMS Classification:

11E20

Keywords:

diagonal forms, dimension and basis of vector space of theta-series, positive definite integral quadratic forms, spherical polynomials, theta-series

Abstract:

The upper bound of the dimension of the space of theta-series with respect to the positive definite quadratic forms is improved for some diagonal quadratic forms.

Download paper:

gaigalas-08.pdf

Vol. 3 (11), 2008