TY  - BOOK
AU  - Grynkiewicz,David J.
TI  - Structural additive theory
T2  - Developments in mathematics
SN  - 9783319004150 (hard cover : alk. paper)
U1  - 511.6 23
PY  - 2013///
CY  - New York :      
PB  - Springer
KW  - Additive combinatorics.
KW  - MATHEMATICS -- Combinatorics.
N1  - Includes bibliographical references and index; 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; 1
13. The DeVos-Goddyn-Mohar Theorem; 
14. The partition theoroem I;
15. The partition theorem II;
16. The -weighted gao theorem;
17. Group algebras: an upper bound for the davenport constant;
18. Character and linear algebraic methods: snevily's conjecture;
19. Character sum and fourier analytic methods: r-critical pairs I;
20. Freiman homomorphisms revisited;
21. The isoperimetric method: sidon sets and r-critical pairs II;
22. The polynomial method: the Erdos-Heilbronn conjecture;

References;
Index
N2  - This book is a hybrid of a research monograph and an introductory graduate textbook. With few exceptions, all results presented are self-contained, written in great detail
ER  -