On the space of generalized theta-series for certain quadratic forms in any number of variables

Author: ketevan Shavgulidze
Keywords: Quadratic form, spherical polynomial, generalized theta-series
Annotation:

In this paper the spaces of the theta-series with respect to quadratic form is considered. The dimension and the basis of these spaces for certain quadratic form is constructed. REFERENCES 1. F. Gooding, Modular forms arising from spherical polynomials and positive definite quadratic forms, J. Number Theory 9, pp.36-47, 1977. 2. K. Shavgulidze, On the space of generalized theta-series for certain quadratic forms in any number of variables, Mathematica Slovaca 69 (2019), No. 1, 87–98.

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On the space of generalized theta-series for certain quadratic forms in any number of variables [en]