Linear relations of theta series of genera of quadratic forms

作者：Choie Y; Chung Y^*

来源：Journal of Mathematical Analysis and Applications, 2007, 325(2): 1430-1441.

DOI：10.1016/j.jmaa.2006.02.070

• genus theta series
• Eisenstein space

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. (c) 2006 Elsevier Inc. All rights reserved.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.

• 出版日期2007-1-15