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math.NT2022
On the prime Selmer ranks of cyclic prime twist families of elliptic curves over global function fields
Sun Woo Park
Fix a prime number . Let be a finite field of characteristic coprime to 2, 3, and , which also contains the primitive -th root of unity . Based on the…
math.NT2021★ 1 cited
Average size of Selmer group in large q limit
Sun Woo Park, Niudun Wang
In this paper, we prove a function field-analogue of Poonen-Rains heuristics on the average size of -Selmer group. Let be an elliptic curve defined over . The…
math.NT2020
Minimal Degrees of Algebraic Numbers with respect to Primitive Elements
Cheol-Min Park, Sun Woo Park
Given a number field , we define the degree of an algebraic number with respect to a choice of a primitive element of . We propose the question of computing the min…