๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On Representation of Integers by Quadratic Forms

โœ Scribed by Arnold E. Ross

Book ID
123667572
Publisher
National Academy of Sciences
Year
1932
Tongue
English
Weight
288 KB
Volume
18
Category
Article
ISSN
0027-8424

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On Representations of Integers by Indefi
On Representations of Integers by Indefinite Ternary Quadratic Forms
โœ Mikhail Borovoi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 143 KB

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

On the Representation of Integers by the
On the Representation of Integers by the Lorentzian Quadratic Form
โœ John G. Ratcliffe; Steven T. Tschantz ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 413 KB

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