TY  - BOOK
AU  - Geroldinger, Alfred
AU  - Ruzsa, Imre Z.
TI  - Combinatorial number theory and additive group theory
SN  - 9783764389611
U1  - 512.7 
PY  - 2000///
CY  - Basel
PB  - Birkhusar
KW  - Additive combinatorics
KW  - Combinatorial number theory
KW  - Combinatorial analysis
KW  - Mathematics
N1  - I. Additive Group Theory and Non-unique Factorizations / Alfred Geroldinger --
1. Basic concepts of non-unique factorizations --
2. The Davenport constant and first precise arithmetical results --
3. The structure of sets of lengths --
4. Addition theorems and direct zero-sum problems --
5. Inverse zero-sum problems and arithmetical consequences --
II. Sumsets and Structure / Imre Z. Ruzsa --
1. Cardinality inequalities --
2. Structure of sets with few sums --
3. Location and sumsets --
4. Density --
5. Measure and topology --
III. Thematic seminars --
1. A survey on additive and multiplicative decompositions of sumsets and of shifted sets / Christian Elsholtz --
2. On the detailed structure of sets with small additive property / Gregory A. Freiman --
3. The isoperimetric method / Yahya O. Hamidoune --
4. Additive structure of difference sets / Norbert Hegyvari --
5. The polynomial method in additive combinatorics / Gyula Karolyi --
6. Problems in additive number theory, III / Melvyn B. Nathanson --
7. Incidences and the spectra of graphs / Jozsef Solymosi --
8. Multi-dimensional inverse additive problems / Yonutz V. Stanchescu
ER  -