Some problems and results in number theory. (English) Zbl 0603.10001

Erdős, Paul

Number theory and combinatorics, Proc. Conf., Tokyo/Jap., Okayama/Jap. and Kyoto/Jap. 1984, 65-87 (1985).

[For the entire collection see Zbl 0601.00003.]
From the author’s introduction: ”During my very long life I published many papers of similar title. Here I want to discuss some of my favorite problems many of which go back 50 years and which I hope are still alive and will outlive me.” The topics considered are divisors, consecutive divisors, problems on prime numbers, systems of congruences, problems connected with van der Waerden’s theorem, arithmetic progressions, and many more.

Reviewer: O.Ninnemann

MSC:

11-02	Research exposition (monographs, survey articles) pertaining to number theory
11N05	Distribution of primes
11N13	Primes in congruence classes
11N37	Asymptotic results on arithmetic functions
11B25	Arithmetic progressions
00A07	Problem books

Keywords:

problem collection

Citations:

Zbl 0601.00003