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Additive Number Theory: Inverse Problems and the Geometry of Sumsets Book

Additive Number Theory: Inverse Problems and the Geometry of Sumsets
Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contras, Additive Number Theory: Inverse Problems and the Geometry of Sumsets has a rating of 3 stars
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Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contras, Additive Number Theory: Inverse Problems and the Geometry of Sumsets
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  • Additive Number Theory: Inverse Problems and the Geometry of Sumsets
  • Written by author Melvyn B. Nathanson
  • Published by Springer-Verlag New York, LLC, August 1996
  • Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contras
  • Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h
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Book Categories

Authors

Preface
Notation
1Simple inverse theorems1
2Sums of congruence classes41
3Sums of distinct congruence classes77
4Kneser's theorem for groups109
5Sums of vectors in Euclidean space133
6Geometry of numbers167
7Plunnecke's inequality201
8Freiman's theorem231
9Applications of Freiman's theorem255
References283
Index292


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Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contras, Additive Number Theory: Inverse Problems and the Geometry of Sumsets

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Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contras, Additive Number Theory: Inverse Problems and the Geometry of Sumsets

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Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contras, Additive Number Theory: Inverse Problems and the Geometry of Sumsets

Additive Number Theory: Inverse Problems and the Geometry of Sumsets

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