New bounds for Szemeredi's theorem, II: A new bound for $r_4(N)$
Fuente:
arXiv
Saved in:
| Main Authors: | Green, Ben, Tao, Terence |
|---|---|
| Format: | Preprint |
| Published: |
2006
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Quantitative bounds in a popular polynomial Szemerédi theorem
by: Shao, Xuancheng, et al.
Published: (2025)
by: Shao, Xuancheng, et al.
Published: (2025)
Marton's Conjecture in abelian groups with bounded torsion
by: Gowers, W. T., et al.
Published: (2024)
by: Gowers, W. T., et al.
Published: (2024)
New lower bounds for $r_3(N)$
by: Hunter, Zach
Published: (2024)
by: Hunter, Zach
Published: (2024)
Sumsets and entropy revisited
by: Green, Ben, et al.
Published: (2023)
by: Green, Ben, et al.
Published: (2023)
A quantitative improvement on the hypergraph Balog-Szemerédi-Gowers theorem
by: Lee, Hyunwoo
Published: (2025)
by: Lee, Hyunwoo
Published: (2025)
A multidimensional Szemerédi theorem in integers
by: Guo, Jingwei, et al.
Published: (2026)
by: Guo, Jingwei, et al.
Published: (2026)
Improved Bounds for Szemerédi's Theorem
by: Leng, James, et al.
Published: (2024)
by: Leng, James, et al.
Published: (2024)
Note on the Theorem of Balog, Szemerédi, and Gowers
by: Reiher, Christian, et al.
Published: (2023)
by: Reiher, Christian, et al.
Published: (2023)
New bounds for the Furstenberg-Sárközy theorem
by: Green, Ben, et al.
Published: (2024)
by: Green, Ben, et al.
Published: (2024)
Quasipolynomial bounds for the corners theorem
by: Jaber, Michael, et al.
Published: (2025)
by: Jaber, Michael, et al.
Published: (2025)
Quasipolynomial bounds on the inverse theorem for the Gowers $U^{s+1}[N]$-norm
by: Leng, James, et al.
Published: (2024)
by: Leng, James, et al.
Published: (2024)
Quantitative bounds in the inverse theorem for the Gowers $U^{s+1}$-norms over cyclic groups
by: Manners, Frederick
Published: (2018)
by: Manners, Frederick
Published: (2018)
Improved bounds for the dimension of divisibility
by: Souza, Victor, et al.
Published: (2022)
by: Souza, Victor, et al.
Published: (2022)
A Note on Lower Bounds in Szemerédi's Theorem with Random Differences
by: Zheng, Jason
Published: (2025)
by: Zheng, Jason
Published: (2025)
Improved bounds for the Fourier uniformity conjecture
by: Pilatte, Cédric
Published: (2026)
by: Pilatte, Cédric
Published: (2026)
Primes of the form $p^2 + nq^2$
by: Green, Ben, et al.
Published: (2024)
by: Green, Ben, et al.
Published: (2024)
Bounds for monochromatic solutions to $\{x+y,xy\}$
by: Green, Ben, et al.
Published: (2025)
by: Green, Ben, et al.
Published: (2025)
New lower bounds for three-term progression free sets in $\mathbb{F}_p^n$
by: Elsholtz, Christian, et al.
Published: (2024)
by: Elsholtz, Christian, et al.
Published: (2024)
Improved bounds for five-term arithmetic progressions
by: Leng, James, et al.
Published: (2023)
by: Leng, James, et al.
Published: (2023)
Improved Ramsey bounds for generalized Schur equations
by: Miyazaki, Rafael, et al.
Published: (2026)
by: Miyazaki, Rafael, et al.
Published: (2026)
Good bounds for sets lacking skew corners
by: Milićević, Luka
Published: (2024)
by: Milićević, Luka
Published: (2024)
Improved bounds for skew corner-free sets
by: Beker, Adrian
Published: (2024)
by: Beker, Adrian
Published: (2024)
Improved bounds for the two-point logarithmic Chowla conjecture
by: Pilatte, Cédric
Published: (2023)
by: Pilatte, Cédric
Published: (2023)
Lower bounds for mask polynomials with many cyclotomic divisors
by: Kiss, Gergely, et al.
Published: (2025)
by: Kiss, Gergely, et al.
Published: (2025)
A Quantitative Bound For Szemerédi's Theorem for a Complexity One Polynomial Progression over $\mathbb{Z}/N\mathbb{Z}$
by: Leng, James
Published: (2022)
by: Leng, James
Published: (2022)
Sharp bound for the Erdős-Straus non-averaging set problem
by: Pham, Huy Tuan, et al.
Published: (2024)
by: Pham, Huy Tuan, et al.
Published: (2024)
Improved bounds on the postage stamp problem for large numbers of stamps
by: Faust, Eric James, et al.
Published: (2025)
by: Faust, Eric James, et al.
Published: (2025)
The proportion of permutations fixing a $k$-set
by: Green, Ben, et al.
Published: (2026)
by: Green, Ben, et al.
Published: (2026)
The Kelley--Meka bounds for sets free of three-term arithmetic progressions
by: Bloom, Thomas F., et al.
Published: (2023)
by: Bloom, Thomas F., et al.
Published: (2023)
A lower bound for the number of pinned angles determined by a Cartesian product set
by: Roche-Newton, Oliver
Published: (2024)
by: Roche-Newton, Oliver
Published: (2024)
A quantitative bound on Furstenberg-Sárközy patterns with shifted prime power common differences in primes
by: Wang, Mengdi
Published: (2021)
by: Wang, Mengdi
Published: (2021)
Essentially tight bounds for rainbow cycles in proper edge-colourings
by: Alon, Noga, et al.
Published: (2023)
by: Alon, Noga, et al.
Published: (2023)
The Erdős--Moser sum-free set problem via improved bounds for $k$-configurations
by: Beker, Adrian
Published: (2025)
by: Beker, Adrian
Published: (2025)
A structure theorem for sets with doubling $4+δ$
by: Jing, Yifan, et al.
Published: (2026)
by: Jing, Yifan, et al.
Published: (2026)
A Szemerédi type theorem for sets of positive density in approximate lattices
by: Björklund, Michael, et al.
Published: (2024)
by: Björklund, Michael, et al.
Published: (2024)
An explicit lower bound for the unit distance problem
by: Sawin, Will
Published: (2026)
by: Sawin, Will
Published: (2026)
Polynomial bounds for the Chowla Cosine Problem
by: Bedert, Benjamin
Published: (2025)
by: Bedert, Benjamin
Published: (2025)
Quasipolynomial inverse theorem for the $\mathsf{U}^4(\mathbb{F}_p^n)$ norm
by: Milićević, Luka
Published: (2024)
by: Milićević, Luka
Published: (2024)
On Rado's single equation theorem
by: Sanders, Tom
Published: (2026)
by: Sanders, Tom
Published: (2026)
Polynomial extensions of Raimi's theorem
by: Hegyvari, Norbert, et al.
Published: (2025)
by: Hegyvari, Norbert, et al.
Published: (2025)
Similar Items
-
Quantitative bounds in a popular polynomial Szemerédi theorem
by: Shao, Xuancheng, et al.
Published: (2025) -
Marton's Conjecture in abelian groups with bounded torsion
by: Gowers, W. T., et al.
Published: (2024) -
New lower bounds for $r_3(N)$
by: Hunter, Zach
Published: (2024) -
Sumsets and entropy revisited
by: Green, Ben, et al.
Published: (2023) -
A quantitative improvement on the hypergraph Balog-Szemerédi-Gowers theorem
by: Lee, Hyunwoo
Published: (2025)