Seoyoung Kim

activity

20172026

most citedExplicit constructions of Diophantine tuples over finite fields

3 citations · 10 across the 11 of their papers we have counts for

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math.NT2017★ 1 cited

The Sato-Tate conjecture and Nagao's conjecture

Seoyoung Kim

Nagao's conjecture relates the rank of an elliptic surface to a limit formula arising from a weighted average of fibral Frobenius traces, and it is further generalized for smooth i…

math.NT2017★ 3 cited

The density of the terms in an elliptic divisibility sequence having a fixed G.C.D. with their index

Seoyoung Kim

Let $D = (D_{n})_{n \geq 1}$ be an elliptic divisibility sequence associated to the pair $(E, P)$ . For a fixed integer $k$ , we define $\mathscr{A}_{E,k}=\{n\geq 1 : \gcd(n,D_{…