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Linear relations of theta series of genera of quadratic forms
Authors:Y. Choie
Affiliation:Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea
Abstract:In this paper we study linear relations among theta series of genera of positive definite n-ary quadratic forms with given level D,2D,4D and 8D for square free D. We obtain a basis for the space generated by genus theta series. This forms a basis of Eisenstein space.
Keywords:Genus theta series   Eisenstein space
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