Cover Image

The sum-product problem for small sets

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Clevenger, Ginny Ray, Havard, Haley, Heard, Patch, Lott, Andrew, Rice, Alex, Wilson, Brittany
Format:	Preprint
Published:	2023
Subjects:	Combinatorics Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Notes and computations on forbidden differences
by: Dean, Christian, et al.
Published: (2025)

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

The sum-product problem for integers with few prime factors
by: Hanson, Brandon, et al.
Published: (2023)

The Erdős--Moser sum-free set problem via improved bounds for $k$-configurations
by: Beker, Adrian
Published: (2025)

The set of minimal distances of the monoid of plus-minus weighted zero-sum sequences and applications to the characterization problem
by: Merito, Kamil, et al.
Published: (2025)

The Furstenberg-Sárközy theorem for polynomials in one or more prime variables
by: Doyle, John R., et al.
Published: (2024)

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

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

Variants of the Erdős distinct sums problem and variance method
by: Costa, Simone, et al.
Published: (2024)

The sum-product conjecture is false for real numbers
by: Bloom, Thomas F, et al.
Published: (2026)

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

Large point-line matchings and small Nikodym sets
by: Hunter, Zach, et al.
Published: (2026)

Reconstructing a set from its subset sums: $2$-torsion-free groups
by: Glaudo, Federico, et al.
Published: (2023)

Discretized sum-product type problems: Energy variants and Applications
by: Pham, Quy, et al.
Published: (2022)

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

An approach to the moments subset sum problem through systems of diagonal equations over finite fields
by: Gottig, Juan Francisco, et al.
Published: (2024)

Maximizing the number of rational-value sums or zero-sums
by: Móricz, Benjamin, et al.
Published: (2024)

Sharp bound for the Erdős-Straus non-averaging set problem
by: Pham, Huy Tuan, et al.
Published: (2024)

Equidistribution of subset sums
by: Pach, Péter Pál
Published: (2025)

The universal zero-sum invariant and weighted zero-sum for infinite abelian groups
by: Wang, Guoqing
Published: (2022)

The Hurwitz sum-of-squares problem depends on the base field
by: Zhang, Chi, et al.
Published: (2026)

Monochromatic products and sums in the rationals
by: Bowen, Matt, et al.
Published: (2022)

A sum rule for derangements
by: Pain, Jean-Christophe
Published: (2025)

On pairs of triangular numbers whose product is a perfect square and pairs of intervals of successive integers with equal sums of squares
by: Gurvich, Vladimir, et al.
Published: (2025)

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

On polynomials of small range sum
by: Kiss, Gergely, et al.
Published: (2023)

Eulerian polynomials and the alternating sum of excedances
by: Pain, Jean-Christophe
Published: (2026)

A lower bound for the number of pinned angles determined by a Cartesian product set
by: Roche-Newton, Oliver
Published: (2024)

Signs behaviour of sums of weighted numbers of compositions
by: Gawron, Filip, et al.
Published: (2024)

Some zero-sum problems over $\langle x,y \mid x^2 = y^{n/2}, y^n = 1, yx = xy^s \rangle$
by: Ribas, Sávio
Published: (2025)

A note on The asymptotic uniform distribution of subset sums
by: Hu, Yilong
Published: (2026)

The characteristic sequence of the integers that are the sum of two squares is not morphic
by: Li, Shuo
Published: (2024)

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

Maesaka-Seki-Watanabe's formula for multiple harmonic $q$-sums
by: Tsuruta, Yuto
Published: (2024)

On integers with many representations as the sum of $k$th powers of primes
by: Aggarwal, Anay
Published: (2025)

Enumeration of idempotent-sum subsequences in finite cyclic semigroups and smooth sequences
by: Wang, Guoqing, et al.
Published: (2025)

Exponential sums over small subgroups, revisited
by: Kowalski, Emmanuel
Published: (2024)

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

Integers with small digits in multiple bases
by: Bloom, Thomas F., et al.
Published: (2025)

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