Some questions in combinatorial and elementary number theory

Some questions in combinatorial and elementary number theory

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This thesis is divided into two parts. Part I is about additive combinatorics. Part II deals with questions in elementary number theory. In Chapter 1, we generalize the Davenport transform to prove that if si S\mathbb A=(A, +)S is acancellative semigroup (either abelian or not) and SX, YS are non-em...

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Bibliographic Details
Main Author: Tringali, Salvatore
Language:English
Published: Université Jean Monnet - Saint-Etienne 2013
Subjects:
[MATH:MATH_CO] Mathematics/Combinatorics
[MATH:MATH_CO] Mathématiques/Combinatoire
Additive combinatorics
Elementary and combinatorial number theory
Cauchy-Davenport type theorems
Freiman's theory of set addition
Additive group and semigroup theory
Minkowski sumsets
Ordered groups
Cyclic congruences
Online Access:http://tel.archives-ouvertes.fr/tel-01060871
http://tel.archives-ouvertes.fr/docs/01/06/08/71/PDF/These-Tringali-Salvatore-2013.pdf
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