Cover Image

Restricted sumsets in multiplicative subgroups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Yip, Chi Hoi
Format:	Preprint
Published:	2023
Subjects:	Number Theory Combinatorics Primary 11B30, 11P70, Secondary 11B13, 05C25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Hilbert cubes in sets with arithmetic properties
by: Croot, Ernie, et al.
Published: (2026)

Additive decompositions of large multiplicative subgroups in finite fields
by: Yip, Chi Hoi
Published: (2023)

Multiplicative irreducibility of shifted multiplicative subgroups
by: Kim, Seoyoung, et al.
Published: (2026)

The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes
by: Asgarli, Shamil, et al.
Published: (2021)

An inverse theorem on sets with rich additive structure modulo primes
by: Croot, Ernie, et al.
Published: (2025)

Restricted sums of sets of cardinality $2p + 1$ in $\mathbb{Z}_p^2$
by: Terkel, Jacinda
Published: (2024)

Direct and Inverse Problems for Restricted Signed Sumsets -- I
by: Mistri, Raj Kumar, et al.
Published: (2025)

Direct and Inverse Problems for Restricted Signed Sumsets -- II
by: Mistri, Raj Kumar, et al.
Published: (2025)

The maximum size of sumsets in finite cyclic groups
by: Goswami, Vivekanand, et al.
Published: (2025)

Multiplicative irreducibility of small perturbations of the set of shifted $k$-th powers
by: Yip, Chi Hoi
Published: (2025)

Paley-type matrices and $1$-factorizations of complete graphs
by: Yip, Chi Hoi, et al.
Published: (2026)

Extensions of the Carlitz-McConnel and Blokhuis-Sziklai theorems for unions of cyclotomic classes
by: Xiong, Maosheng, et al.
Published: (2026)

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

Distribution of power residues over shifted subfields and maximal cliques in generalized Paley graphs
by: Martin, Greg, et al.
Published: (2024)

Compression and complexity for sumset sizes in additive number theory
by: Nathanson, Melvyn B.
Published: (2025)

Structure of sets with small product sets in torsion-free groups, cyclic groups of prime orders and abelian groups
by: Mistri, Raj Kumar, et al.
Published: (2026)

Sieving with square conditions and applications to Hilbert cubes in arithmetic sets
by: Dietmann, Rainer, et al.
Published: (2026)

$f$-Diophantine sets over finite fields via quasi-random hypergraphs from multivariate polynomials
by: Kim, Seoyoung, et al.
Published: (2025)

An inverse theorem for sumsets of sets of positive density in the integers
by: Ackelsberg, Ethan, et al.
Published: (2026)

Sárközy's theorem in $\mathbf{F}_2[x]$
by: Kowalska, Aleksandra
Published: (2025)

Arithmetical structure of sumset intersections
by: Marques, Diego, et al.
Published: (2026)

Moment conditions for the asymptotic completeness of iid gap sequences
by: Asatryan, Vahram, et al.
Published: (2025)

On Lev's periodicity conjecture
by: Reiher, Christian
Published: (2024)

Large sum-free sets in finite vector spaces II
by: Reiher, Christian, et al.
Published: (2026)

Restricted set addition in finite abelian groups
by: Goswami, Vivekanand, et al.
Published: (2026)

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

Additive sumset sizes with tetrahedral differences
by: Nathanson, Melvyn B.
Published: (2025)

Exact values and improved bounds on the clique number of cyclotomic graphs
by: Yip, Chi Hoi
Published: (2023)

Problems and results on intersections of product sets and sumsets in semigroups
by: Nathanson, Melvyn B.
Published: (2026)

Explicit sumset sizes in additive number theory
by: Nathanson, Melvyn B.
Published: (2025)

Problems in additive number theory, VII: The structure of additive $h$-bases for $n$
by: Nathanson, Melvyn B.
Published: (2026)

Multiplicative Subgroups of $\mathbb{Z}_p^*$ that are Generalized Arithmetic Progressions
by: Cochrane, Albert
Published: (2026)

Extremal problems and the combinatorics of sumsets
by: Nathanson, Melvyn B.
Published: (2023)

Intersective sets over abelian groups
by: Xu, Zixiang, et al.
Published: (2022)

Intersections of sumsets in additive number theory
by: Nathanson, Melvyn B.
Published: (2025)

Judicious partitions for restricted self-sumsets in cyclic groups
by: Irawan, Keane Maverick
Published: (2025)

Counterexamples to generalizations of the Erdős $B+B+t$ problem
by: Ackelsberg, Ethan
Published: (2024)

Generalized H-fold sumset and Subsequence sum
by: Mohan, et al.
Published: (2024)

Resolving Adenwalla's conjecture related to a question of Erdős and Graham about covering systems
by: Jia, Zhengkun, et al.
Published: (2025)

Two dimensional arithmetic progressions avoiding squares
by: Dietmann, Rainer, et al.
Published: (2026)