2 citations · 2 across the 3 of their papers we have counts for
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On the density of rational lines on diagonal cubic hypersurfaces, II
Scott Parsell, Kiseok Yeon
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 t…
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces
Julia Brandes, Scott T. Parsell
We establish the analytic Hasse principle for Diophantine systems consisting of one diagonal form of degree and one general form of degree , where is smaller than . B…
On generating functions in additive number theory, II: Lower-order terms and applications to PDEs
Julia Brandes, Scott T. Parsell, Konstantinos Poulias +2
We obtain asymptotics for sums of the form involving lower order main terms. As an application, we show that for almost all one…
A Hardy-Ramanujan-Rademacher-type formula for -regular partitions
James Mc Laughlin, Scott Parsell
Let denote the number of partitions of a positive integer into parts containing no multiples of or , where and are square-free, relatively prime…