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- W320179254 abstract "So far multidimensional diophantine approximation has concerned only points of the number spaces ℝ N or ℤ N . If, making use of the language of geometry, one passes from number spaces to vector spaces, the concept of an integer in the one-dimensional case and that of an integral N-tuple in ℝ N generalises to the natural concept of a lattice. If N linearly independent vectors a1,…,an are given in an N-dimensional vector space V, by the lattice G = G(a1,..., aN) one understands the collection of all vectors g which may be represented as linear combination $${rm g}=g_1{rm a}_1 + ldots +g_N{rm a}_N=sumlimits_{n=1}^N g_n{rm a}_n$$of the a n with integral coefficients g n ." @default.
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- W320179254 date "1986-01-01" @default.
- W320179254 modified "2023-09-23" @default.
- W320179254 title "Geometry of Numbers" @default.
- W320179254 doi "https://doi.org/10.1007/978-3-642-75306-0_3" @default.
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