Resumen
We obtain polylogarithmic bounds in the polynomial Szemerédi theorem when the polynomials have distinct degrees and zero constant terms. Specifically, let <ani:inline-formula id="ieq1"><ani:alternatives><ani:tex-math>$A$</ani:tex-math></ani:alternatives> </ani:inline-formula>.
| Idioma original | English |
|---|---|
| Publicación | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
| DOI | |
| Estado | Accepted/In press - 2025 |
Nota bibliográfica
Publisher Copyright:© The Author(s), 2025. Published by Cambridge University Press.
Financiación
The authors thank Sean Prendiville for valuable discussions, particularly regarding an earlier version of the proof of , and for his encouragement. We are grateful to the anonymous referee for a careful reading of the paper and for numerous helpful comments and corrections. XS was supported by NSF grant DMS-2200565. MW was partially supported by the Swiss National Science Foundation grant TMSGI2-2112.
| Financiadores | Número del financiador |
|---|---|
| National Science Foundation Arctic Social Science Program | DMS-2200565 |
| Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung | TMSGI2-2112 |
ASJC Scopus subject areas
- General Mathematics
Huella
Profundice en los temas de investigación de 'Quantitative bounds in a popular polynomial Szemerédi theorem'. En conjunto forman una huella única.Citar esto
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver