Publications of (and about) Paul Erdös
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.
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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