Combinatorial number theory and additive group theory
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Basel ; Boston
Name of Publisher, Distributor, etc.
Birkhauser
Date of Publication, Distribution, etc.
c2009
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xi, 330 p. : ill. ; 24 cm.
SERIES
Other Title Information
Advanced courses in mathematics, CRM Barcelona
GENERAL NOTES
Text of Note
Includes bibliographical references
NOTES PERTAINING TO TITLE AND STATEMENT OF RESPONSIBILITY
Text of Note
Alfred Geroldinger, Imre Z. Ruzsa
CONTENTS NOTE
Text of Note
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
TOPICAL NAME USED AS SUBJECT
Entry Element
، Combinatorial number theory
Entry Element
، Additive combinatorics
Entry Element
Kongress ، Kombinatorische Zahlentheorie - Barcelona <8002>