Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  434.10001
Autor:  Erdös, Paul; Graham, Ronald L.
Title:  Old and new problems and results in combinatorial number theory. (In English)
Source:  Monographie No.28 de L'Enseignement Mathématique. Genève: L'Enseignement Mathématique, Université de Genève. 128 p. (1980).
Review:  This survey of open problems contains chapters on each of the following topics: van der Warden's theorem and related topics, covering congruences, unit fractions, bases, completeness of sequences, irrationality and transcendence, diophantine problems, miscellaneous problems. There then follows ten pages of remarks on an earlier similar paper [P. Erdös, ibid. 6, 81-135 (1963; Zbl 117.02901)] , bringing that survey up to date. A full bibliography, and an author index of over 300 names, are also included. Fascinating to dip into.
Reviewer:  I.Anderson
Classif.:  * 11-02 Research monographs (number theory)
                   00A07 Problem books
Keywords:  combinatorial number theory; arithmetic progression; survey of open problems; van der Waerden's theorem; covering congruences; unit fractions; bases; completeness of sequences; irrationality and transcendence; diophantine problems
Citations:  Zbl.117.029

© European Mathematical Society & FIZ Karlsruhe & Springer-Verlag

Books Problems Set Theory Combinatorics Extremal Probl/Ramsey Th.
Graph Theory Add.Number Theory Mult.Number Theory Analysis Geometry
Probabability Personalia About Paul Erdös Publication Year Home Page