On the number of representations of integers by the quadratic forms

Author: Ketevan Shavgulidze
Keywords: The quadratic form, the spherical polynomial, the generalized theta-series
Annotation:

In this paper the spaces of spherical polynomials and the theta-series with respect to quadratic form is considered. The basis of these spaces for certain quadratic form is constructed and the number of representations of integers by the quadratic forms is obtained