S. Parsell

activity

20122026

most citedSimultaneous additive equations: Repeated and differing degrees

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

collaborators

Showing 2020Show all

2 papers · 1 filter

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…