Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  615.10001
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.
Reviewer:  A.Ivic
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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Books Problems Set Theory Combinatorics Extremal Probl/Ramsey Th.
Graph Theory Add.Number Theory Mult.Number Theory Analysis Geometry
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