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- W1562097645 abstract "Let $Q$ be a nondegenerate quadratic form and $L$ a nonzero linear form of dimension $d>3$. As a generalization of the Oppenheim conjecture, we prove that the set ${(Q(x),L(x)):xin mathbb {Z}^d}$ is dense in $mathbb {R}^2$ provided that $Q$ and $L$ satisfy some natural conditions. The proof uses dynamics on homogeneous spaces of Lie groups." @default.
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- W1562097645 date "2004-01-13" @default.
- W1562097645 modified "2023-09-23" @default.
- W1562097645 title "Oppenheim conjecture for pairs consisting of a linear form and a quadratic form" @default.
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- W1562097645 doi "https://doi.org/10.1090/s0002-9947-04-03473-7" @default.
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