On the number of representations of positive integers by the quadratic forms of 8 level

Author: Teimuraz Vepkhvadze
Keywords: representation, modular, form, quadratic
Annotation:

The modular properties of generalized theta-functions with characteristics and spherical functions are used to build cusp forms of half-integral weight. It gives the opportunity of obtaining formulas for the number of representations of positive integers by quadratic forms of 8 level