Combinatorial number theory and additive group theory/
Geroldinger, Alfred
Combinatorial number theory and additive group theory/ Alfred Geroldinger and Imre Z. Ruzsa - Basel: Birkhusar, 2000. - xi, 330 p. : ill. ; 24 cm. - (Advanced courses in mathematics, CRM Barcelona) .
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.
9783764389611
Additive combinatorics
Combinatorial number theory
Combinatorial analysis
Mathematics
512.7 / GER/
Combinatorial number theory and additive group theory/ Alfred Geroldinger and Imre Z. Ruzsa - Basel: Birkhusar, 2000. - xi, 330 p. : ill. ; 24 cm. - (Advanced courses in mathematics, CRM Barcelona) .
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.
9783764389611
Additive combinatorics
Combinatorial number theory
Combinatorial analysis
Mathematics
512.7 / GER/