On the Number of Representations of Integers by Quadratic Forms in Twelve Variables
โ Scribed by G. Lomadze
- Book ID
- 111583276
- Publisher
- Walter de Gruyter GmbH & Co. KG
- Year
- 1998
- Tongue
- English
- Weight
- 494 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1072-947X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
In this paper, we establish an asymptotic formula, for large radius r, for the number of representations of a nonzero integer k by the Lorentzian quadratic form x 2 1 +x 2 2 + } } } +x 2 n &x 2 n+1 that are contained in the ball of radius r centered at the origin in Euclidean (n+1)-space. 1997 Acade