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【转贴】Old and new problems and results in combinatorial number theory
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Old and new problems and results in combinatorial number theory (Monographie no 28 de lEnseignement mathematique) Publisher: LEnseignement mathematique, Universite de Geneve Number Of Pages: 128 Publication Date: 1980 Sales Rank: ISBN / ASIN: B0006E5L5O EAN: Binding: Unknown Binding Manufacturer: LEnseignement mathematique, Universite de Geneve Studio: LEnseignement mathematique, Universite de Geneve Snippets of a MathSciNet review Nearly all, if not all, number theorists and combinatorialists have heard the first author "preach" on unsolved problems. In fact, three-fourths of the 32 papers on unsolved problems cited in Section 1 of this 10-section monograph are authored by him. Moreover, the problems discussed in those lectures tended to be of similar or related type and flavor. Naturally, in the work under review the preponderance of problems are also of this type. However, not all are, and notwithstanding this, the reviewer contends that the variety is sufficient for people interested enough to pick up this collection to discover problems which pique their curiosity to such an extent that they will be forced to seek solutions. The problems are divided into eight sections: van der Waerden's theorem and related topics, Covering congruences, Unit fractions, Bases and related topics, Completeness of sequences and related topics, Irrationality and transcendence, Diophantine problems, and Miscellaneous problems (consisting of "problems which for the most part are even more unconventional than those mentioned up to now"  . The tenth section gives an update on some of the problems in an earlier paper of the first author [Monographies de L'Enseignement Mathématique No. 6 (1963), 81--135; MR0158847 (28 #2070)]. At the end is a 17-page bibliography of cited works and an index of names.Password: gigapedia.orgType: djvu Size: 1.44 MB MD5: ec4f2acb419ccaf448c8101cf410ccb0 http://rapidshare.com/files/42185400/B0006E5L5O.zip.html http://mihd.net/jticqu [ Last edited by laizuliang on 2007-10-31 at 16:26 ] |
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