Combinatorial number theory and additive group theory/ Alfred Geroldinger and Imre Z. Ruzsa
Material type: 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: 512.7Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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General Books | Central Library, Sikkim University General Book Section | 512.7 GER/ (Browse shelf(Opens below)) | Available | P25226 |
Browsing Central Library, Sikkim University shelves, Shelving location: General Book Section Close shelf browser (Hides shelf browser)
512.7 COP/N Number Theory: an introduction to mathematics: part A | 512.7 COP/N Number theory: an introduction to mathematics part b | 512.7 EBB/N Numbers // | 512.7 GER/ Combinatorial number theory and additive group theory/ | 512.7 HER/E Equations and inequalities: elementary problems and theorems in algebra and number theory/ | 512.7 HIN/A Arithmetics/ | 512.7 HOF/I An introduction to mathematical crytography/ |
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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