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The circle method with weights for the representation of integers by quadratic forms

โœ Scribed by N. Niedermowwe


Publisher
Springer US
Year
2010
Tongue
English
Weight
650 KB
Volume
171
Category
Article
ISSN
1573-8795

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On the Representation of Integers by the
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