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Combinatorial number theory and additive group theory/ Alfred Geroldinger and Imre Z. Ruzsa

By: Geroldinger, AlfredContributor(s): Ruzsa, Imre ZMaterial type: Text

TextSeries: (Advanced courses in mathematics, CRM Barcelona)Publication details: Basel: Birkhusar, 2000Description: xi, 330 p. : ill. ; 24 cmISBN: 9783764389611Subject(s): Additive combinatorics | Combinatorial number theory | Combinatorial analysis | MathematicsDDC classification: 512.7

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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	512.7 GER/ (Browse shelf(Opens below))	Available		P25226

Total holds: 0

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.

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