D. R. Heath-Brown

most citedIrreducible polynomials over finite fields produced by composition of quadratics

6 citations · 6 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2026

Counting Square-full Solutions to $x + y = z$

D. R. Heath-Brown

We show that there are $O(B^{3/5-3/1555+\ep})$ triples $(x, y, z)$ of square-full integesr up to $B$ satisfying the equation $x + y = z$ for any fixed $\ep>0$. This is the first improvem…

math.NT2017★ 6 cited

Irreducible polynomials over finite fields produced by composition of quadratics

D. R. Heath-Brown, Giacomo Micheli

For a set $S$ of quadratic polynomials over a finite field, let $C$ be the (infinite) set of arbitrary compositions of elements in $S$ . In this paper we show that there are example…

Counting Square-full Solutions to x+y=z

Irreducible polynomials over finite fields produced by composition of quadratics

Counting Square-full Solutions to $x + y = z$