000			00386nam a2200145Ia 4500
999			_c170249 _d170249
020			_a9783764389611
040			_cCUS
082			_a512.7 _bGER/
100			_aGeroldinger, Alfred
245		0	_aCombinatorial number theory and additive group theory/ _cAlfred Geroldinger and Imre Z. Ruzsa
260			_aBasel: _bBirkhusar, _c2000.
300			_axi, 330 p. : _bill. ; _c24 cm.
440			_a(Advanced courses in mathematics, CRM Barcelona)
505			_aI. 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.
650			_aAdditive combinatorics
650			_aCombinatorial number theory
650			_aCombinatorial analysis
650			_aMathematics
700			_aRuzsa, Imre Z.
942			_cWB16