Publications of (and about) Paul Erdös
Autor: Erdös, Paul
Title: Some problems on number theory. (In English)
Source: Combinatorics, graph theory, and computing, Proc. 17th Southeast. Conf., Boca Raton/Fl. 1986, Congr. Numerantium 54, 225-244 (1986).
Review: [For the entire collection see Zbl 608.00004.]
From the text: ``In this little note I discuss mainly problems on prime numbers. Some of these have occupied me for a long time, but I mention also some new questions. The quality of the problems considered will be uneven; some are mere exercises, some certainly serious problems.''
It should be added that this paper contains quite a few problems, many with comments, sketches of proofs, references, etc. The author is one of the best known problem posers in number theory, whose problems have inspired a great deal of research. Some of the problems carry money prizes. The reviewer highly recommends this article to anyone interested in the subject.
Classif.: * 11-02 Research monographs (number theory)
11A41 Elemementary prime number theory
11N05 Distribution of primes
11N37 Asymptotic results on arithmetic functions
00A07 Problem books
Keywords: problem collection; prime numbers; squarefree numbers; complete sequences; k-tuple conjecture; divisor function
Citations: Zbl 608.00004
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