ENGLISH

Combinatorial number theory and additive group theory

By Alfred Geroldinger , Imre Z. Ruzsa

Book information

Publisher
Birkhäuser
Year
2009
ISBN
9783764389611, 3764389613, 9783764389628, 3764389621
LCC
QA164 .G47 2009
Open Library ID
OL25175824M
Language
english
Format
PDF
Filesize
3 MB (2775075 bytes)
Series
Advanced courses in mathematics, CRM Barcelona
Edition
1
Pages
325\325
Time added
2009-08-06 05:14:26

Description

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 the notes 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.

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