Published August 18, 2023
| public
Journal Article
Sums of transcendental dilates
- Creators
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Conlon, David
- Lim, Jeck
Chicago
An error occurred while generating the citation.
Abstract
We show that there is an absolute constant c > 0 such that |A + λ • A| ⩾ e^(c√log|A)| |A| for any finite subset A of ℝ and any transcendental number λ ∈ ℝ. By a construction of Konyagin and Łaba, this is best possible up to the constant c.
Additional Information
© 2023 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence. Research supported by NSF Award DMS-2054452 and partially supported by an NUS Overseas Graduate Scholarship.Additional details
- Eprint ID
- 122369
- Resolver ID
- CaltechAUTHORS:20230725-500420000.2
- NSF
- DMS‐2054452
- National University of Singapore
- Created
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2023-08-18Created from EPrint's datestamp field
- Updated
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2023-08-18Created from EPrint's last_modified field