Published October 2022
| public
Journal Article
The upper logarithmic density of monochromatic subset sums
- Creators
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Conlon, David
- Fox, Jacob
- Pham, Huy Tuan
Chicago
An error occurred while generating the citation.
Abstract
We show that in any two-coloring of the positive integers there is a color for which the set of positive integers that can be represented as a sum of distinct elements with this color has upper logarithmic density at least (2 + √3)/4 and this is best possible. This answers a 40-year-old question of Erdős.
Additional Information
Research supported by NSF Award DMS-2054452. [Conlon] Research supported by a Packard Fellowship and by NSF Awards DMS-1855635 and DMS-2154169. [Fox] Research supported by a Two Sigma Fellowship. [Pham]Additional details
- Eprint ID
- 117445
- Resolver ID
- CaltechAUTHORS:20221017-10817000.4
- NSF
- DMS-2054452
- David and Lucile Packard Foundation
- NSF
- DMS-1855635
- NSF
- DMS-2154169
- Two Sigma Investments, LP
- Created
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2022-10-20Created from EPrint's datestamp field
- Updated
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2022-10-20Created from EPrint's last_modified field