S. Parsell

most citedA Hardy-Ramanujan-Rademacher-type formula for

(r, s)

-regular partitions

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

collaborators

3 papers

math.NT2020

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 $k$ and one general form of degree $d$ , where $d$ is smaller than $k$ . B…

math.NT2020

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 $n = 1 \sum P e (α_{k} n^{k} + α_{1} n),$ involving lower order main terms. As an application, we show that for almost all $α_{2} \in [0, 1)$ one…

math.NT2019★ 2 cited

A Hardy-Ramanujan-Rademacher-type formula for $(r, s)$ -regular partitions

James Mc Laughlin, Scott Parsell

Let $p_{r, s} (n)$ denote the number of partitions of a positive integer $n$ into parts containing no multiples of $r$ or $s$ , where $r > 1$ and $s > 1$ are square-free, relatively prime…

The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces

On generating functions in additive number theory, II: Lower-order terms and applications to PDEs

A Hardy-Ramanujan-Rademacher-type formula for (r,s)-regular partitions

A Hardy-Ramanujan-Rademacher-type formula for $(r, s)$ -regular partitions