Structural additive theory
Nestled between number theory, combinatorics, algebra, and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main objects of study are not abelian groups themselves,...
Shranjeno v:
| Glavni avtor: | |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Cham :
Springer International Publishing
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2013. |
| Serija: | Developments in Mathematics
30 |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Structural additive theory, David J. Grynkiewicz, Cham, Springer, 2013, 1 vol. (XII-426 p.), Developments in mathematics, 978-3-319-00415-0, Texte imprimé |
Kazalo:
- 1. Abelian Groups and Character Sums 2. Introduction to Sumsets 3. Simple Results for Torsion-Free Abelian Groups 4. Basic Results for Sumsets with an Infinite Summand 5. The Pigeonhole and Multiplicity Bounds 6. Periodic Sets and Kneser's Theorem 7. Compression, Complements and the 3k 4 Theorem 8. Additive Energy 9. Kemperman's Critical Pair Theory 10. Zero-Sums, Setpartitions and Subsequence Sums 11. Long Zero-Sum Free Sequences over Cyclic Groups 12. Pollard's Theorem for General Abelian Groups 13. The DeVos Goddyn Mohar Theorem 14. The Partition Theorem I 15. The Partition Theorem II 16. The -Weighted Gao Theorem 17. Group Algebras 18. Character and Linear Algebraic Methods 19. Character Sum and Fourier Analytic Methods 20. Freiman Homomorphisms Revisited 21. The Isoperimetric Method 22. The Polynomial Method Index