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math.NT2015★ 1 cited
Descent for the punctured universal elliptic curve, and the average number of integral points on elliptic curves
Dohyeong Kim
We show that the average number of integral points on elliptic curves, counted modulo the natural involution on a punctured elliptic curve, is bounded from above by $2.1 \times 10^…
math.NT2015★ 3 cited
A modular approach to Thue-Mahler equations
Dohyeong Kim
Let be a non-degenerate binary cubic form with integral coefficients, and let be an arbitrary finite set of prime numbers. By a classical theorem of Mahler, there are…