Audie Warren

activity

20182026

most citedOn sum sets of convex functions

7 citations · 14 across the 11 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.CO2021★ 1 cited

A Point-Conic Incidence Bound and Applications over $F_{p}$

Ali Mohammadi, Thang Pham, Audie Warren

In this paper, we prove the first incidence bound for points and conics over prime fields. As applications, we prove new results on expansion of bivariate polynomial images and on…

math.CO2021★ 2 cited

Incidences of Möbius transformations in $F_{p}$

Audie Warren, James Wheeler

We develop the methods used by Rudnev and Wheeler to prove an incidence theorem between arbitrary sets of Möbius transformations and point sets in $F_{p}^{2}$ . We also note som…

math.CO2021

Additive and multiplicative Sidon sets

Oliver Roche-Newton, Audie Warren

We give a construction of a set $A \subset N$ such that any subset $A^{'} \subset A$ with $∣ A^{'} ∣ ≫ ∣ A ∣^{2/3}$ is neither an additive nor multiplicative Sidon set. In doing so…

math.CO2021★ 7 cited

On sum sets of convex functions

Sophie Stevens, Audie Warren

In this paper we prove new bounds for sums of convex or concave functions. Specifically, we prove that for all $A, B \subseteq R$ finite sets, and for all $f, g$ convex or co…

A Point-Conic Incidence Bound and Applications over Fp​

Incidences of Möbius transformations in Fp​

Additive and multiplicative Sidon sets

On sum sets of convex functions

A Point-Conic Incidence Bound and Applications over $F_{p}$

Incidences of Möbius transformations in $F_{p}$