Representations of Positive Integers by a Direct Sum of Quadratic forms

被引：0
作者：
Tekcan A. [1 ]
机构：
[1] Department of Mathematics, Faculty of Science, University of Uludag, Görükle, 16059, Bursa
来源：
Results in Mathematics | 2004年 / 46卷 / 1-2期
关键词：
cusp forms; generalized theta series; quadratic forms;
D O I：
10.1007/BF03322877
中图分类号：
学科分类号：
摘要：
The number of representation of positive integers by quadratic forms F1=x1 2+3x1x2+8x2 2 and G1=2x1 2+3x1x2+4x2 2 of discriminant —23 are given. Moreover, a basis for the cusp form space S4(Γ0(23), 1) are constructed. Furthermore, formulas for the representation of positive integers by direct sum of copies of F1 and G1, i.e. formulas for r(n; F4), r(n; G4), r(n; F3 ⊕ G1), r(n; F2 ⊕ G2), and r(n; F1 ⊕ G3), are derived using the elements of the space S4(Γ(23), 1). © 2003, Birkhäuser Verlag, Basel.
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页码：146 / 163
页数：17
相关论文
共 2 条
[1]  
Lomadze G., On The Number Of Representations of Positive Integers By A Direct Sum Of Binary Quadratic Forms With Discriminant -23, Georgian Mathematical Journal, 4, 6, pp. 523-532, (1997)
[2]  
Tekcan A., Bizim O., On the Number of Representations of Positive Integers by Quadratic Forms As the Basis of the Space S <sub>4</sub> (Γ<sub>0</sub>(47), 1), Int. Jour, of Math, and Math. Science, 12, pp. 637-646, (2004)
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