• Sums and Products from a Finit...

Treffer: Sums and Products from a Finite Set of Real Numbers: Sums and products from a finite set of real numbers

Title:
Sums and Products from a Finite Set of Real Numbers: Sums and products from a finite set of real numbers
Authors:
Kevin Ford
Source:
Developments in Mathematics ISBN: 9781441950581
Publisher Information:
Springer US, 1998.
Publication Year:
1998
Subject Terms:
cardinality, Other combinatorial number theory, sumsets
Document Type:
Buch Part of book or chapter of book<br />Article
File Description:
application/xml
ISSN:
1572-9303
1382-4090
DOI:
10.1007/978-1-4757-4507-8_7
DOI:
10.1023/a:1009709908223
Access URL:
https://link.springer.com/10.1007/978-1-4757-4507-8_7
https://experts.illinois.edu/en/publications/sums-and-products-from-a-finite-set-of-real-numbers
https://link.springer.com/chapter/10.1007/978-1-4757-4507-8_7
https://rd.springer.com/chapter/10.1007/978-1-4757-4507-8_7
Rights:
Springer Nature TDM
Accession Number:
edsair.doi.dedup.....193304b0aace7f1c0ffc62e3d697a32b
Database:
OpenAIRE

Weitere Informationen

Let \(A\) be a set of real numbers. Put \(hA=\{x_1+x_2+ \cdots +x_h \mid x_i\in A\}\) and \(A^h=\{x_1x_2 \cdots x_h \;| \;x_i\in A\}\). The author deals with a conjecture of P. Erdős stating that \(hA\cup A^h\) has large cardinality. As observed at the end of the paper, the best results known on this conjecture are due to \textit{G. Elekes} [Acta Arith. 81, 365-367 (1997; Zbl 0887.11012)].