Cover Image

The structure of sets with cube-avoiding sumsets

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Karam, Thomas, Keevash, Peter
Format:	Preprint
Published:	2024
Subjects:	Combinatorics Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The structure of sets with cube‐avoiding sumsets
by: Thomas Karam, et al.
Published: (2025)

On the largest sum-free subset of the lattice cube
by: Keevash, Peter, et al.
Published: (2026)

On universal sets and sumsets
by: Shkredov, Ilya D.
Published: (2024)

On the number of sets with small sumset
by: Liu, Dingyuan, et al.
Published: (2024)

Improved stability for the size and structure of sumsets
by: Granville, Andrew, et al.
Published: (2024)

A sumset version of a conjecture of Pilz
by: Nagy, János, et al.
Published: (2024)

On common energies and sumsets
by: Shkredov, Ilya D.
Published: (2024)

On common energies and sumsets II
by: Shkredov, Ilya D.
Published: (2025)

There are infinitely many Hilbert cubes of dimension 3 in the set of squares
by: Bremner, Andrew, et al.
Published: (2026)

Monochromatic polynomial sumset structures on $\mathbb{N}$
by: Lian, Zhengxing, et al.
Published: (2024)

The restricted sumsets in finite abelian groups
by: Du, Shanshan, et al.
Published: (2024)

Random Cayley graphs and random sumsets
by: Alon, Noga, et al.
Published: (2025)

Product representation of perfect cubes
by: Fleiner, Zsigmond György, et al.
Published: (2024)

A combinatorial proof of a sumset conjecture of Furstenberg
by: Glasscock, Daniel, et al.
Published: (2021)

On small densities defined without pseudorandomness
by: Karam, Thomas
Published: (2024)

Additive structure in convex sets
by: Bloom, Thomas F., et al.
Published: (2025)

On the size and structure of $t$-representable sumsets
by: Táfula, Christian
Published: (2023)

Ranges of polynomials control degree ranks of Green and Tao over finite prime fields
by: Karam, Thomas
Published: (2023)

Restricted sumsets in $\mathbb{Z}$
by: Wang, Yujie, et al.
Published: (2024)

A note on iterated sumsets races
by: Péringuey, Paul, et al.
Published: (2025)

Unions of intervals in codes based on powers of sets
by: Karam, Thomas
Published: (2024)

A structure theorem for sets with doubling $4+δ$
by: Jing, Yifan, et al.
Published: (2026)

On subsets of lattice cubes avoiding affine and spherical degeneracies
by: Ghosal, Anubhab, et al.
Published: (2025)

Additive energies of subsets of discrete cubes
by: Shao, Xuancheng
Published: (2024)

The Kelley--Meka bounds for sets free of three-term arithmetic progressions
by: Bloom, Thomas F., et al.
Published: (2023)

Packing sets under finite groups via algebraic incidence structures
by: Hegyvári, Norbert, et al.
Published: (2024)

Signed sumsets and restricted signed sumsets in groups and fields
by: Mistri, Raj Kumar, et al.
Published: (2026)

Additive Bases: Change of Domain
by: Bukh, Boris, et al.
Published: (2024)

On restricted sumsets with bounded degree relations
by: Ouyang, Minghui
Published: (2025)

On Fourier coefficients of sets with small doubling
by: Shkredov, Ilya D.
Published: (2024)

The sum-product problem for small sets
by: Clevenger, Ginny Ray, et al.
Published: (2023)

Monochromatic products in random integer sets
by: Lidón, Roger, et al.
Published: (2025)

A lattice point counting approach for the study of the number of self-avoiding walks on $\mathbb{Z}^{d}$
by: Lazar, Youssef
Published: (2025)

On sets with missing differences in compact abelian groups
by: Candela, Pablo, et al.
Published: (2024)

On the determinants of matrices with elements from arbitrary sets
by: Shkredov, Ilya D., et al.
Published: (2024)

On Freiman's Theorem in a function field setting
by: Wessel, Mieke
Published: (2024)

Good bounds for sets lacking skew corners
by: Milićević, Luka
Published: (2024)

Improved bounds for skew corner-free sets
by: Beker, Adrian
Published: (2024)

Graham conjecture on small sets in abelian groups
by: Costa, Simone, et al.
Published: (2026)

The sum-product problem for small sets II
by: Antis, Phillip, et al.
Published: (2026)