Treffer: Problems and results on combinatorial number theory III: Problems and results on combinatorial number theory. II

Title:
Problems and results on combinatorial number theory III: Problems and results on combinatorial number theory. II
Authors:
Paul Erdös
Source:
Lecture Notes in Mathematics ISBN: 9783540085294
Publisher Information:
Springer Berlin Heidelberg, 1977.
Publication Year:
1977
Subject Terms:
arithmetic progression, problems, Problem books, Arithmetic progressions, Research exposition (monographs, survey articles) pertaining to number theory, Other combinatorial number theory, combinatorial number theory
Document Type:
Buch Part of book or chapter of book<br />Article
File Description:
application/xml
DOI:
10.1007/bfb0063064
Access URL:
https://zbmath.org/3675980
https://www.informaticsjournals.com/index.php/jims/article/view/16631
https://rd.springer.com/chapter/10.1007/BFb0063064
https://www.sciencedirect.com/science/article/pii/B978072042262750017X
http://www.sciencedirect.com/science/article/pii/B978072042262750017X
https://link.springer.com/content/pdf/10.1007%2FBFb0063064.pdf
https://link.springer.com/chapter/10.1007/BFb0063064
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....578a7e02debbc2983ddea2b717d610a6
Database:
OpenAIRE

Weitere Informationen

The author discusses a number of interesting problems which he and many others have looked at in recent years. The article contains statements of these problems, a brief history of what is known, and some further references. Most of the problems are combinatorial in nature, and concern sequences having certain arithmetic properties. An easily stated example: For every \(n\), is there an arithmetic progression no term of which is of the form \(2^{k_1}+\ldots+2^{k_n}+p\), \(p\) a prime? Part I, cf. Survey comb. Theory, Sympos. Colorado State Univ., Colorado 1971, 117--138 (1973; Zbl 0263.10001).