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On the density of rational lines on diagonal cubic hypersurfaces. II
Scott T. Parsell, Kiseok Yeon
Source abstract
Abstract In this paper, we establish the expected asymptotic formula for the number of rational lines on a diagonal cubic hypersurface in 18 or more variables, improving on recent work of the second author. This is achieved via a refined mean value estimate for minor arcs that non‐trivially exploits a shifting variables argument in both underlying dimensions.
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