激怒 发表于 2025-3-23 10:35:04

Packings, discrete set and introduce the concepts of general packing density, and lattice packing density of a set in .. We shall prove some results on packing of spheres and convex bodies and give some historical remarks on packings.

Intend 发表于 2025-3-23 17:21:42

Homogeneous Problems, binary quadratic forms. We define Markoff spectrum for absolute value of indefinite binary quadratic forms and determine first three minima. We also consider one-sided problem for indefinite binary quadratic forms and show that here the spectrum is not isolated. Homogeneous minimum of product of three linear forms is also obtained.

Supplement 发表于 2025-3-23 19:21:01

https://doi.org/10.1007/978-981-99-9602-5lattices; convex sets; Minkowski fundamental theorem; critical determinants; Minkowski second inequality

跑过 发表于 2025-3-24 01:53:04

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GOAD 发表于 2025-3-24 04:43:18

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Respond 发表于 2025-3-24 06:44:40

Coverings,The concept of covering is dual to that of packing. In this chapter, we shall define lattice covering, general covering, covering density, thinnest covering density, and their arithmetical interpretation. We prove F.ry’s result for obtaining best lattice covering density of closed convex domains in . and give some historical remarks on coverings.

承认 发表于 2025-3-24 13:31:07

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Harpoon 发表于 2025-3-24 16:44:59

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deceive 发表于 2025-3-24 19:09:35

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多产鱼 发表于 2025-3-25 02:41:18

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查看完整版本: Titlebook: Lecture Notes on Geometry of Numbers; R. J. Hans-Gill,Madhu Raka,Ranjeet Sehmi Textbook 2024 The Editor(s) (if applicable) and The Author(