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# Levent Alpoge : The average number of rational points on odd genus two curves over \Q is bounded

We prove that, when monic quintic integral polynomials f\in \Z[x] with nonzero discriminant are ordered by height, the average number of solutions to y^2 = f(x) is bounded.

**Category**: Number Theory**Duration**: 01:34:42**Date**: April 3, 2019 at 3:10 PM**Views**: 243-
**Tags:**seminar, Number Theory Seminar

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