Geometry and Topology Seminar
Tuesday, October 02, 2018 at 4:30pm to 5:30pm
2-143
Dohyeong Kim (MIT)
Title: Integral points on elliptic curves
Abstract: We will show that the average number of integral points on an elliptic curve is bounded from above. The curves in consideration are in their Weierstrass forms, and they are ordered by the size of their coefficients. The essential estimates come from those of Bhargava-Shankar on binary quartic forms and Evertse-Akhtari-Okazaki on solutions of the Thue-Mahler equation.
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