Peter T. J. Bradshaw

collaborators

2 papers

math.NT2021

Growth in Sumsets of Higher Convex Functions

Peter J. Bradshaw

The main results of this paper concern growth in sums of a $k$ -convex function $f$ . Firstly, we streamline the proof of a growth result for $f (A)$ where $A$ has small additive doub…

math.NT2021

Higher Convexity and Iterated Second Moment Estimates

Peter J. Bradshaw, Brandon Hanson, Misha Rudnev

We prove bounds for the number of solutions to $a_{1} + \dots + a_{k} = a_{1}^{'} + \dots + a_{k}^{'}$ over $N$ -element sets of reals, which are sufficiently convex or near-convex. A near-conv…