Cover Image

On the determinants of matrices with elements from arbitrary sets

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Shkredov, Ilya D., Shparlinski, Igor E.
Format:	Preprint
Published:	2024
Subjects:	Number Theory Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

On some multiplicative properties of large difference sets
by: Shkredov, Ilya D.
Published: (2023)

Structure theory of set addition with two operations
by: Semchankau, Aliaksei, et al.
Published: (2026)

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

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

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

Energy bounds for modular roots and their applications
by: Kerr, Bryce, et al.
Published: (2021)

Counting integer matrices with square-free determinants
by: Ostafe, Alina, et al.
Published: (2025)

On the sparsity of non-diagonalisable integer matrices and matrices with a given discriminant
by: Ostafe, Alina, et al.
Published: (2023)

On some results of Korobov and Larcher and Zaremba's conjecture
by: Shkredov, Ilya D.
Published: (2026)

Tribonacci properties of identities, matrices, and determinants
by: Komatsu, Takao, et al.
Published: (2026)

Statistics of ranks, determinants and characteristic polynomials of rational matrices
by: Afifurrahman, Muhammad, et al.
Published: (2024)

Number of characteristic polynomials of matrices with bounded height
by: Mérai, László, et al.
Published: (2023)

Integer matrices with a given characteristic polynomial and multiplicative dependence of matrices
by: Habegger, Philipp, et al.
Published: (2022)

Counting elements of the congruence subgroup
by: Bulinski, Kamil, et al.
Published: (2023)

Counting matrices over finite rank multiplicative groups
by: Manning, Aaron, et al.
Published: (2025)

Uncertainty for convolutions of sets
by: Shkredov, Ilya D.
Published: (2024)

On commuting pairs in arbitrary sets of 2x2 matrices
by: Mudgal, Akshat
Published: (2024)

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

Rational numbers with small denominators in short intervals
by: Shparlinski, Igor E.
Published: (2023)

Joint distribution of the cokernels of random $p$-adic matrices II
by: Jung, Jiwan, et al.
Published: (2023)

Modular Nahm sums for symmetrizable matrices of indices $({2,\ldots, 2},1)$ and $({1,\ldots, 1},2)$
by: Du, Julia Q. D., et al.
Published: (2026)

Quantative universality for cokernels of matrices with symmetries
by: Shen, Jiahe
Published: (2026)

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

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

Fibonomial determinants
by: Komatsu, Takao
Published: (2026)

Counting Irreducible polynomials with coefficients from thin subgroups
by: Ostafe, Alina, et al.
Published: (2026)

Distribution of the cokernels of determinantal row-sparse matrices
by: Lee, Jungin, et al.
Published: (2025)

The structure of sets with cube-avoiding sumsets
by: Karam, Thomas, et al.
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)

On some determinant conjectures
by: Zhu, Ze-Hua, et al.
Published: (2024)

On sets with missing differences in compact abelian groups
by: Candela, Pablo, 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)

Roth-type theorems in $K_{s,t}$-free sets
by: Jing, Yifan, et al.
Published: (2026)