Conditional expanding bounds for two-variable functions over arbitrary fields

Abstract

In this short note, we use Rudnev's point-plane incidence bound to improve some results on conditional expanding bounds for two-variable functions over arbitrary fields due to Hegyvári and Hennecart.

References in corpus (4)

• New results on sum-product type growth over fields
• A short proof of Rudnev's point-plane incidence bound
• Growth Estimates in Positive Characteristic via Collisions
• Three-variable expanding polynomials and higher-dimensional distinct distances