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Titlebook: An Introduction to the Geometry of Numbers; J. W. S. Cassels Book 1997 Springer-Verlag Berlin Heidelberg 1997 Diophantine approximation.Pr

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樓主
發(fā)表于 2025-3-21 17:21:57 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱An Introduction to the Geometry of Numbers
影響因子2023J. W. S. Cassels
視頻videohttp://file.papertrans.cn/156/155551/155551.mp4
學(xué)科分類Classics in Mathematics
圖書(shū)封面Titlebook: An Introduction to the Geometry of Numbers;  J. W. S. Cassels Book 1997 Springer-Verlag Berlin Heidelberg 1997 Diophantine approximation.Pr
影響因子From the reviews: "The work is carefully written. It is well motivated, and interesting to read, even if it is not always easy... historical material 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; excellent bibliographical references." The American Mathematical Monthly
Pindex Book 1997
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沙發(fā)
發(fā)表于 2025-3-21 22:32:43 | 只看該作者
https://doi.org/10.1007/978-3-531-90599-0 to it (in the sense of Chapter I, § 4) which bears a special relation to the problem under consideration. This process is independent of the geometrical notions introduced by M. and depends only on the properties of bases of lattices developed in Chapter I. Indeed only the lattice Λ. of integer vectors comes into consideration.
板凳
發(fā)表于 2025-3-22 02:19:04 | 只看該作者
https://doi.org/10.1007/978-3-476-03920-0tice Λ with . (Λ) < Δ. certainly has points other than . in. In this chapter we are concerned with estimates for . from above; that is we wish to find numbers . such that there are certainly lattices Λ with d(Λ) = Δ.which have no points other than the origin in ., i.e. are . -admissible.
地板
發(fā)表于 2025-3-22 08:13:59 | 只看該作者
5#
發(fā)表于 2025-3-22 11:44:24 | 只看該作者
Classics in Mathematicshttp://image.papertrans.cn/a/image/155551.jpg
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發(fā)表于 2025-3-22 13:56:47 | 只看該作者
Reduction, to it (in the sense of Chapter I, § 4) which bears a special relation to the problem under consideration. This process is independent of the geometrical notions introduced by M. and depends only on the properties of bases of lattices developed in Chapter I. Indeed only the lattice Λ. of integer vectors comes into consideration.
7#
發(fā)表于 2025-3-22 20:42:16 | 只看該作者
The theorem of M,-H,tice Λ with . (Λ) < Δ. certainly has points other than . in. In this chapter we are concerned with estimates for . from above; that is we wish to find numbers . such that there are certainly lattices Λ with d(Λ) = Δ.which have no points other than the origin in ., i.e. are . -admissible.
8#
發(fā)表于 2025-3-23 01:02:57 | 只看該作者
9#
發(fā)表于 2025-3-23 05:00:13 | 只看該作者
,Gegner und Verbündete in der Kohlenkrise,n space have far-reaching consequences in diverse branches of number theory. For example, he simplified the theory of units in algebraic number fields and both simplified and extended the theory of the approximation of irrational numbers by rational ones (Diophantine Approximation). This new branch
10#
發(fā)表于 2025-3-23 09:11:43 | 只看該作者
https://doi.org/10.1007/978-3-531-90599-0 to it (in the sense of Chapter I, § 4) which bears a special relation to the problem under consideration. This process is independent of the geometrical notions introduced by M. and depends only on the properties of bases of lattices developed in Chapter I. Indeed only the lattice Λ. of integer vec
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