A result from 1988 on the square-free integers represented by a positive definite ternary quadratic form with integral coefficients is made uniform in the determinant of the form.
Theta series of ternary quadratic forms
โ Scribed by D.C Hung
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 395 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The aim of this paper is to improve the results of [o] about the theta series associated to the even extremal unimodular quadratic form. We prove that, in degree 3, the associated theta series is still unique for extremal even unimodular lattices of rank 32 and 48. For the ranks 40, 56, 72 we analyz
Let f be an indefinite ternary integral quadratic form and let q be a nonzero integer such that &q det( f ) is not a square. Let N(T, f, q) denote the number of integral solutions of the equation f (x)=q where x lies in the ball of radius T centered at the origin. We are interested in the asymptotic