| 书目名称 | Combinatorial Number Theory and Additive Group Theory | | 编辑 | Alfred Geroldinger,Imre Z. Ruzsa | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Advanced Courses in Mathematics - CRM Barcelona | | 图书封面 |  | | 描述 | .Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on problems related to the addition of integers. Some classical problems like the Waring problem on the sum of k-th powers or the Goldbach conjecture are genuine examples of the original questions addressed in the area. One of the features of contemporary additive combinatorics is the interplay of a great variety of mathematical techniques, including combinatorics, harmonic analysis, convex geometry, graph theory, probability theory, algebraic geometry or ergodic theory. ..This book gathers the contributions of many of the leading researchers in the area and is divided into three parts. The two first parts correspond to the material of the main courses delivered, .Additive combinatorics and non-unique factorizations., by Alfred Geroldinger, and .Sumsets and structure., by Imre Z. Ruzsa. The third part collects thenotes of most of the seminars which accompanied the main courses, and which cover a reasonably large part of the methods, techniques and problems of contemporary additive combinatorics.. . | | 出版日期 | Textbook 2009 | | 关键词 | Graph; Graph theory; Group theory; additive group theory; combinatorial number theory; factorization; numb | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-7643-8962-8 | | isbn_softcover | 978-3-7643-8961-1 | | isbn_ebook | 978-3-7643-8962-8Series ISSN 2297-0304 Series E-ISSN 2297-0312 | | issn_series | 2297-0304 | | copyright | Birkh�user Basel 2009 |
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发表于 2025-3-21 17:08:18
