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math.CO2026
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…
math.CO2026
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…
math.CO2026
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…