Imagen de Portada

The sum-product phenomenon for dense subsets of finite fields

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autor principal:	Shao, Xuancheng
Formato:	Preprint
Publicado:	2026
Materias:	Number Theory
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Additive energies of subsets of discrete cubes
por: Shao, Xuancheng
Publicado: (2024)

On sums of finite subsets of the primes
por: Zhao, Genheng
Publicado: (2025)

Sums of Kloosterman sums over square-free and smooth integers
por: Shao, Xuancheng, et al.
Publicado: (2024)

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

Burgess-type character sum estimates over generalized arithmetic progressions of rank $2$
por: Alsetri, Ali, et al.
Publicado: (2025)

Equidistribution of subset sums
por: Pach, Péter Pál
Publicado: (2025)

Density versions of the binary Goldbach problem
por: Alsetri, Ali, et al.
Publicado: (2024)

Multiplicative character sums over two classes of subsets of quadratic extensions of finite fields
por: Cheng, Kaimin, et al.
Publicado: (2025)

Quantitative bounds in a popular polynomial Szemerédi theorem
por: Shao, Xuancheng, et al.
Publicado: (2025)

Linear equations in Piatetski-Shapiro primes
por: Shao, Xuancheng, et al.
Publicado: (2026)

Polynomial configurations in dense subsets of the prime lattice
por: Lott, Andrew, et al.
Publicado: (2025)

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

On cyclotomic matrices related to Kloosterman sums over finite fields
por: Wu, Hai-Liang
Publicado: (2026)

On cyclotomic matrices involving Gauss sums over finite fields
por: Wu, Hai-Liang, et al.
Publicado: (2024)

Bounds in a popular multidimensional nonlinear Roth theorem
por: Peluse, Sarah, et al.
Publicado: (2024)

Permutation polynomials of finite fields of even characteristic from character sums
por: Chen, Ruikai, et al.
Publicado: (2024)

On difference sets of dense subsets of $\mathbb{Z}^2$
por: Goswami, Sayan
Publicado: (2026)

On the structures of subset sums in higher dimension
por: Hegyvári, Norbert, et al.
Publicado: (2024)

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

On exponential Freiman dimension
por: Lim, Jeck, et al.
Publicado: (2025)

The VC-dimension of random subsets of finite groups
por: Rodgers, Brad, et al.
Publicado: (2025)

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

On zero-sum free sequences contained in random subsets of finite cyclic groups
por: Lee, Sang June, et al.
Publicado: (2020)

Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor
por: Gorodetsky, Ofir, et al.
Publicado: (2023)

Residue sums of Dickson polynomials over finite fields
por: Brazelton, Thomas, et al.
Publicado: (2021)

Uniform sum-product phenomenon for algebraic groups and Bremner's conjecture
por: Harrison, Joseph, et al.
Publicado: (2026)

Modular invariants for real quadratic fields and Kloosterman sums
por: Andersen, Nickolas, et al.
Publicado: (2018)

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

Arithmetic sums and products of infinite multiple zeta-star values
por: Li, Jiangtao, et al.
Publicado: (2026)

More on the sum-product problem for integers with few prime factors
por: Agrawal, Rishika, et al.
Publicado: (2025)

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

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

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

Large sum-free subsets of sets of integers via $L^1$-estimates for trigonometric series
por: Bedert, Benjamin
Publicado: (2025)

On $p$-th cyclotomic field and cyclotomic matrices involving Jacobi sums
por: Wu, Hai-Liang, et al.
Publicado: (2025)

On sesquilinear forms over finite fields
por: Chen, Ruikai
Publicado: (2025)

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

On the distribution of polynomial Farey points and Chebyshev's bias phenomenon
por: Chahal, Bittu, et al.
Publicado: (2024)

Artin-Schreier towers of finite fields
por: Cagliero, Leandro, et al.
Publicado: (2024)

Higher uniformity of arithmetic functions in short intervals I. All intervals
por: Matomäki, Kaisa, et al.
Publicado: (2022)