• On Optimal Subset Representati...

Result: On Optimal Subset Representations of Integer Sets: On optimal subset representations of integer sets

Title:
On Optimal Subset Representations of Integer Sets: On optimal subset representations of integer sets
Authors:
Mike Develin
Source:
Journal of Number Theory. 89:212-221
Publisher Information:
Elsevier BV, 2001.
Publication Year:
2001
Subject Terms:
subset sums, geometric progression of integers, Algebra and Number Theory, Additive number theory, partitions, Other combinatorial number theory, 0103 physical sciences, 0102 computer and information sciences, 16. Peace & justice, 01 natural sciences
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
0022-314X
DOI:
10.1006/jnth.2000.2647
Access URL:
https://zbmath.org/1641591
https://doi.org/10.1006/jnth.2000.2647
https://core.ac.uk/display/81942982
http://www.sciencedirect.com/science/article/pii/S0022314X00926477
https://www.sciencedirect.com/science/article/pii/S0022314X00926477
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....ab859c4b7bb04cccab398df1d45ba72f
Database:
OpenAIRE

Further Information

If \(A,B\subset \mathbb{R}\), \(B\) is said to represent \(A\) if for any \(a\in A\), there is a \(C\subset B\) with \(a= \sum_{c\in C}c\). The paper under review studies the case where \(A\) is a geometric progression of integers . A conjecture of \textit{D. P. Moulton} [J. Number Theory 89, 193-211 (2001; Zbl 0997.11021)] is proved.