8 citations · 18 across the 6 of their papers we have counts for
3 papers · 1 filter
Effective Pila--Wilkie bounds for unrestricted Pfaffian surfaces
Gareth O. Jones, Margaret E. M. Thomas
We prove effective Pila--Wilkie estimates for the number of rational points of bounded height lying on certain surfaces defined by Pfaffian functions. The class of surfaces to whic…
On local definability of holomorphic functions
Gareth Jones, Jonathan Kirby, Olivier Le Gal +1
Given a collection A of holomorphic functions, we consider how to describe all the holomorphic functions locally definable from A. The notion of local definability of holomorphic f…
Local interdefinability of Weierstrass elliptic functions
Gareth Jones, Jonathan Kirby, Tamara Servi
We explain which Weierstrass elliptic functions are locally definable from other elliptic functions and exponentiation in the context of o-minimal structures. The proofs make use o…