Nick Rome

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20172023

most citedA Positive Proportion of Hasse Principle Failures in a Family of Châtelet Surfaces

2 citations · 7 across the 8 of their papers we have counts for

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math.NT2018★ 2 cited

A Positive Proportion of Hasse Principle Failures in a Family of Châtelet Surfaces

Nick Rome

We investigate the family of surfaces defined by the affine equation $Y^{2} + Z^{2} = (a T^{2} + b) (c T^{2} + d)$ where $∣ a d - b c ∣ = 1$ and develop an asymptotic formula for the frequ…