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Representing Powers of Numbers as Subset Sums of Small Sets

✍ Scribed by David Petrie Moulton

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 151 KB
Volume: 89
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2000.2646

No coin nor oath required. For personal study only.

✦ Synopsis

We investigate a number of questions concerning representations of a set of numbers as sums of subsets of some other set. In particular, we obtain several results on the possible sizes of the second set when the first set consists of a geometric sequence of integers, partially answering a generalisation of a question of Gerry Myerson.

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