青石板 发表于 2025-3-26 22:29:55

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四牛在弯曲 发表于 2025-3-27 02:15:19

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Collar 发表于 2025-3-27 06:49:55

The quotient space, space by a lattice. This concept plays an important rôle in the discussion of inhomogeneous problems in Chapter XI: but we shall also need it in Chapter VIII as it gives the most natural interpretation of . theorem about the successive minima of a convex body with respect to a lattice.

enflame 发表于 2025-3-27 11:05:28

Automorphs,ently form a group. Many of the point sets of interest in the geometry of numbers, or which occur naturally in problems arising in other branches of number-theory, have a rich group of automorphs which is reflected in the set of .-admissible lattices. Already in the work in which he introduced the n

抛射物 发表于 2025-3-27 17:02:40

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Corroborate 发表于 2025-3-27 18:17:08

Theorems of B, and M,n 2..(Λ). In § 2 we shall prove M. theorem and some refinements. We shall not follow M. own proof but deduce his theorem from one of B., which has important applications of its own and which is intuitively practically obvious: if a point set . has volume strictly greater than .(Λ) then it contains t

虚情假意 发表于 2025-3-28 00:50:57

1431-0821material is included... the author has written excellent account of an interesting subject." Mathematical Gazette "A well-written, very thorough account ... Among the topi are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory;

不规则的跳动 发表于 2025-3-28 05:56:19

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Hearten 发表于 2025-3-28 07:13:43

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pus840 发表于 2025-3-28 12:49:03

Book 1997is included... the author has written excellent account of an interesting subject." Mathematical Gazette "A well-written, very thorough account ... Among the topi are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent
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查看完整版本: Titlebook: An Introduction to the Geometry of Numbers; J. W. S. Cassels Book 1997 Springer-Verlag Berlin Heidelberg 1997 Diophantine approximation.Pr