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Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids

โœ Scribed by William Duke; Rainer Schulze-Pillot


Publisher
Springer-Verlag
Year
1990
Tongue
English
Weight
433 KB
Volume
99
Category
Article
ISSN
0020-9910

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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