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Representations of integers by binary forms and the rank of the Mordell-Weil group

✍ Scribed by J. H. Silverman


Publisher
Springer-Verlag
Year
1983
Tongue
English
Weight
486 KB
Volume
74
Category
Article
ISSN
0020-9910

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On the Representation of Integers by the
✍ John G. Ratcliffe; Steven T. Tschantz πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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