Combinatorial number theory and additive group theory
This book collects the material delivered in the 2008 edition of the DocCourse in Combinatorics and Geometry which was devoted to the topic of additive combinatorics. The first two parts, which form the bulk of the volume, contain the two main advanced courses, Additive Group Theory and Non-Unique F...
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2009. |
| Serie: | Advanced Courses in Mathematics / CRM Barcelona
|
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 2 février 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Combinatorial number theory and additive group theory, Alfred Geroldinger, Imre Z. Ruzsa, Basel, Birkhäuser, Springer [distributor], 2009, 1 vol. (xi-330 p.), Advanced courses in mathematics - CRM Barcelona, 978-3-7643-8961-1 |
Sommario:
- Additive Group Theory and Non-unique Factorizations Notation Basic concepts of non-unique factorizations The Davenport constant and first precise arithmetical results The structure of sets of lengths Addition theorems and direct zero-sum problems Inverse zero-sum problems and arithmetical consequences Sumsets and Structure Notation Cardinality inequalities Structure of sets with few sums Location and sumsets Density Measure and topology Exercises Thematic seminars A survey on additive and multiplicative decompositions of sumsets and of shifted sets On the detailed structure of sets with small additive property The isoperimetric method Additive structure of difference sets The polynomial method in additive combinatorics Problems in additive number theory, III Incidences and the spectra of graphs Multi-dimensional inverse additive problems.