Combinatorial number theory and additive group theory / Alfred Geroldinger, Imre Z. Ruzsa.
| Author/creator | Geroldinger, Alfred |
| Other author | Ruzsa, Imre Z., 1953- |
| Format | Electronic |
| Publication Info | Basel ; Boston : Birkhäuser, |
| Description | xi, 330 p. : ill. ; 24 cm. |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2009 English International |
| Supplemental Content | Full text available from Springer Books |
| Subjects |
| Series | Advanced courses in mathematics, CRM Barcelona Advanced courses in mathematics, CRM Barcelona. ^A520935 |
| Contents | 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. |
| Bibliography note | Includes bibliographical references. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2008941509 |
| ISBN | 9783764389611 (pbk.) |
| ISBN | 3764389613 (pbk.) |
| ISBN | 9783764389628 |
| ISBN | 3764389621 |
| Publisher number | 12251155 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |