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2000 | OriginalPaper | Buchkapitel

On Values of Linear and Quadratic Forms at Integral Points

verfasst von : S. G. Dani

Erschienen in: Number Theory

Verlag: Hindustan Book Agency

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The aim of this article is to give an exposition of certain applications of the study of the homogeneous space SL(n, ℝ)/SL(n, ℤ) and the flows on it induced by subgroups of SL(n, ℝ), to problems on values of linear and quadratic forms at integral points. Also, some complements to Margulis’s theorem on Oppenheim’s conjecture are proved.

Metadaten
Titel
On Values of Linear and Quadratic Forms at Integral Points
verfasst von
S. G. Dani
Copyright-Jahr
2000
Verlag
Hindustan Book Agency
DOI
https://doi.org/10.1007/978-93-86279-02-6_6