Old and new problems and results in combinatorial number theory. (English) Zbl 0434.10001

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. Erdős, ibid. 6, 81–135 (1963; Zbl 0117.02901)] , 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: Ian Anderson


11-02 Research exposition (monographs, survey articles) pertaining to number theory
00A07 Problem books
11Bxx Sequences and sets


Zbl 0117.02901