Resumen
For a positive integer, define tn to be the smallest number such that the additive energy E(A) of any subset and any d is at most. Trivially, we have and by considering. In this note, we investigate the behaviour of tn for large n and obtain the following non-trivial bounds: where c > 0 is an absolute constant.
| Idioma original | English |
|---|---|
| Publicación | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
| DOI | |
| Estado | Accepted/In press - 2024 |
Nota bibliográfica
Publisher Copyright:© The Author(s), 2024. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh.
ASJC Scopus subject areas
- General Mathematics
Huella
Profundice en los temas de investigación de 'Additive energies of subsets of discrete cubes'. En conjunto forman una huella única.Citar esto
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