D. R. Heath-Brown

activity

20022022

most citedPair Correlation for Fractional Parts of

α n^{2}

54 citations · 241 across the 42 of their papers we have counts for

collaborators

Showing 2015 · math.NTShow all

3 papers · 2 filters

math.NT2015★ 8 cited

The Cubic Case of Vinogradov's Mean Value Theorem --- A Simplified Approach to Wooley's "Efficient Congruencing"

D. R. Heath-Brown

This is an expository paper, giving a simplified proof of the cubic case of the main conjecture for Vinogradov's mean value theorem.

math.NT2015

Rational Points on the Intersection of Three Quadrics

D. R. Heath-Brown

This paper proves the Hasse principle and weak approximation for varieties defined by the smooth intersection of three quadratics in at least 19 variables, over arbitrary number fi…

math.NT2015

Primes values of $a^{2} + p^{4}$

D. R. Heath-Brown, Xiannan Li

We prove an asymptotic formula for the number of primes of the shape $a^{2} + p^{4}$ , thereby refining the well known work of Friedlander and Iwaniec. Along the way, we prove a result o…

The Cubic Case of Vinogradov's Mean Value Theorem --- A Simplified Approach to Wooley's "Efficient Congruencing"

Rational Points on the Intersection of Three Quadrics

Primes values of a2+p4

Primes values of $a^{2} + p^{4}$