3 citations · 8 across the 13 of their papers we have counts for
6 papers · 1 filter
Additive decompositions of multiplicative subgroups via differential identities
Chi Hoi Yip, Albert Cochrane, Semin Yoo
We develop a local-to-global differential framework for additive decomposition problems involving multiplicative subgroups of prime fields. Starting from Hanson--Petridis-type auxi…
Multiplicative subgroups are not restricted sumsets
Chi Hoi Yip, Semin Yoo
We determine exactly which proper multiplicative subgroups of a prime field can be represented as a restricted sumset of the form $A\mathbin{\widehat{+}} A=\{a+a':a,a'\in A,\ a\ne…
Multiplicative irreducibility of shifted multiplicative subgroups in the extremal case
Semin Yoo
In a recent breakthrough, Kalmynin proved a conjecture of Sárközy on additive irreducibility of the set of quadratic residues in a prime field. More recently, Kim, Yip, and Yoo ini…
Multiplicative irreducibility of shifted multiplicative subgroups
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
In a recent breakthrough, Kalmynin resolved conjectures of Lev--Sonn and Sárközy on additive decompositions of multiplicative subgroups of prime fields. In this paper, inspired by…
Product representations of polynomials over finite fields
Hyunwoo Lee, Chi Hoi Yip, Semin Yoo
Erdős, Sárközy, and Sós studied the asymptotics of the maximum size of a subset of such that it does not contain distinct elements whose product is a perfec…
Paley-type matrices and -factorizations of complete graphs
Chi Hoi Yip, Semin Yoo, Shikang Yu
Ball, Ortega--Moreno, and Prodromou asked two questions about whether, for every odd prime , one can find a -factor of the complete graph with some arithmetic restr…