Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  445.10002
Autor:  Erdös, Paul
Title:  Nine little known problems in combinatorial number theory. (In NO)
Source:  Normat 1980, 155-164 (1980).
Review:  In this paper the author discusses various problems in combinatorial number theory. We mention some examples. In \S1 the following is discussed: Is there a partition of the naturals into k subsets for some k such that the sum of two distinct elements from the same subset is never a square. The next paragraphs discuss problems related to sequences of natural numbers, density questions, and functions related to these sequences. The last paragraph is devoted to primes, espectially the behaviour of pi+1-pi, pi the i-th prime, and related functions is discussed.
Reviewer:  R.Rudolph
Classif.:  * 11-02 Research monographs (number theory)
                   11P81 Elementary theory of partitions
                   11B05 Topology etc. of sets of numbers
                   11B13 Additive bases
                   11B83 Special sequences of integers and polynomials
                   11B25 Arithmetic progressions
                   11N05 Distribution of primes
                   11N37 Asymptotic results on arithmetic functions
                   00A07 Problem books
Keywords:  problems in combinatorial number theory; partition of naturals; sequences; density questions; difference of consecutive primes

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