Combinatorial Number Theory and Additive Group Theory

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 Notation
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   Chapter 3 Basic concepts of non-unique factorizations
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   Chapter 4 The Davenport constant and first precise arithmetical results
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   Chapter 5 The structure of sets of lengths
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   Chapter 6 Addition theorems and direct zero-sum problems
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   Chapter 7 Inverse zero-sum problems and arithmetical consequences
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   Chapter 8 Introduction
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    Chapter 9 Notation
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    Chapter 10 Cardinality inequalities
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    Chapter 11 Structure of sets with few sums
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    Chapter 12 Location and sumsets
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    Chapter 13 Density
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    Chapter 14 Measure and topology
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    Chapter 15 Exercises
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    Chapter 16 A survey on additive and multiplicative decompositions of sumsets and of shifted sets
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    Chapter 17 On the detailed structure of sets with small additive property
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    Chapter 18 The isoperimetric method
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    Chapter 19 Additive structure of difference sets
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    Chapter 20 The polynomial method in additive combinatorics
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    Chapter 21 Problems in additive number theory, III
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    Chapter 22 Incidences and the spectra of graphs
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    Chapter 23 Multi-dimensional inverse additive problems