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portada Combinatorial Number Theory and Additive Group Theory (Advanced Courses in Mathematics - crm Barcelona)
Type
Physical Book
Publisher
Author
Year
2009
Language
English
Pages
348
Format
Paperback
ISBN
3764389613
ISBN13
9783764389611
Edition No.
2009
Categories

Combinatorial Number Theory and Additive Group Theory (Advanced Courses in Mathematics - crm Barcelona)

Alfred Geroldinger; Imre Ruzsa (Author) · Birkhäuser · Paperback

Combinatorial Number Theory and Additive Group Theory (Advanced Courses in Mathematics - crm Barcelona) - Alfred Geroldinger; Imre Ruzsa

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Synopsis "Combinatorial Number Theory and Additive Group Theory (Advanced Courses in Mathematics - crm Barcelona) "

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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