On Tripling Constant of Multiplicative Subgroups

2015/04/17 by Ilya D. Shkredov, Shkredov, Ilya D.
Computer Science · Mathematics · #11B13 #11B50 #11P05 #Combinatorics (math.CO) #Cooperative Communication and Network Coding #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1504.04522

openalex publication_date 2015/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

See the abstract in the attached pdf.

Citations

• Some new inequalities in additive combinatorics
• A short proof of a near-optimal cardinality estimate for the product of a sum set
• Intersections of multiplicative subgroups and Heilbronn's exponential sum
• Solutions of polynomial equation over mathbbF_p and new bounds of\n additive energy
• A note on sumsets of subgroups in \mathbb Z_p^*

Related

• Multiplicative Energy of Shifted Subgroups and Bounds On Exponential\n Sums with Trinomials in Finite Fields
• Multiplicative irreducibility of shifted multiplicative subgroups in the extremal case
• On a question of Cochrane and Pinner concerning multiplicative subgroups
• A short note on the multiplicative energy of the spectrum of a set
• Reductions of subgroups of the multiplicative group