E-book
Combinatorial Number Theory and Additive Group Theory
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- ISBN: 9783764389628
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Physical Description:
electronic
electronic resource
access
remote
online resource. - Publisher: Basel : Birkhäuser Basel, 2009.
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| Subject: | Mathematics Combinatorics Mathematics Combinatorics |
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Electronic resources
| 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. |
