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Representations of integers by linear forms in nonnegative integers

โœ Scribed by Albert Nijenhuis; Herbert S. Wilf


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
358 KB
Volume
4
Category
Article
ISSN
0022-314X

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๐Ÿ“œ SIMILAR VOLUMES


On Representations of Integers by Indefi
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

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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