Treffer: Nine little known problems in combinatorial number theory
Title:
Nine little known problems in combinatorial number theory
Authors:
Publisher Information:
Nationellt Centrum för Matematikutbildning (NCM), Göteborgs Universitet, Göteborg, 1980.
Publication Year:
1980
Subject Terms:
Problem books, Arithmetic progressions, density questions, Research exposition (monographs, survey articles) pertaining to number theory, Density, gaps, topology, partition of naturals, Elementary theory of partitions, difference of consecutive primes, Additive bases, including sumsets, Distribution of primes, problems in combinatorial number theory, Special sequences and polynomials, sequences, Asymptotic results on arithmetic functions
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Access URL:
Accession Number:
edsair.c2b0b933574d..25336b48816f87ec96f24b503831af1b
Database:
OpenAIRE
Weitere Informationen
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 \(p_{i+1}-p_i\), \(p_i\) the \(i\)-th prime, and related functions is discussed.