| 书目名称 | Lecture Notes on Geometry of Numbers |
| 编辑 | R. J. Hans-Gill,Madhu Raka,Ranjeet Sehmi |
| 视频video | http://file.papertrans.cn/584/583421/583421.mp4 |
| 概述 | Presents as an introductory one- or two-semester course in geometry of numbers.Introduces Minkowski‘s conjecture, Watson‘s conjecture and the conjecture of Bambah, Dumir, and Hans-Gill.Honours Prof. R |
| 丛书名称 | University Texts in the Mathematical Sciences |
| 图书封面 |  |
| 描述 | .This book serves as an illuminating introduction to the intricacies of the geometry of numbers. It commences by exploring basic concepts of convex sets and lattices in Euclidean space and goes on to delve into Minkowski’s fundamental theorem for convex bodies and its applications. It discusses critical determinants and successive minima before explaining the core results of packings and coverings. The text goes on to delve into the significance of renowned conjectures such as Minkowski’s conjecture regarding the product of linear forms, Watson’s conjecture, and the conjecture of Bambah, Dumir, and Hans-Gill concerning non-homogeneous minima of indefinite quadratic forms... ..Dedicated to Prof. R.P. Bambah on his 98th birthday, a living legend of number theory in India, this comprehensive book addresses both homogeneous and non-homogeneous problems, while sprinkling in historical insights and highlighting unresolved questions in the field. It is ideally suited for beginnersembarking on self-study as well as for use as a text for a one- or two-semester introductory course. .. . |
| 出版日期 | Textbook 2024 |
| 关键词 | lattices; convex sets; Minkowski fundamental theorem; critical determinants; Minkowski second inequality |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-99-9602-5 |
| isbn_softcover | 978-981-99-9604-9 |
| isbn_ebook | 978-981-99-9602-5Series ISSN 2731-9318 Series E-ISSN 2731-9326 |
| issn_series | 2731-9318 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
|Archiver|手机版|小黑屋|
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