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math.NT2023★ 3 cited
Multiplicative structure of shifted multiplicative subgroups and its applications to Diophantine tuples
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
In this paper, we investigate the multiplicative structure of a shifted multiplicative subgroup and its connections with additive combinatorics and the theory of Diophantine equati…
math.CO2023
Intersection patterns and connections to distance problems
Thang Pham, Semin Yoo
Let and be sets in a finite vector space. In this paper, we study the magnitude of the set , where runs through a set of transformations. More precisely, we…