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math.NT2002★ 33 cited
The density of rational points on Cayley's cubic surface
D. R. Heath-Brown
The Cayley cubic surface is given by the equation sum_{i=1}^4 X_i^{-1}=0. We show that the number of non-trivial primitive integer points of size at most B is of exact order B(log…
math.NT2002
Lectures on sieves
D. R. Heath-Brown
These are notes of a series of lectures on sieves, presented during the Special Activity in Analytic Number Theory, at the Max-Planck Institute for Mathematics in Bonn, during the…
math.NT2002
Integers Represented as a Sum of Primes and Powers of Two
D. R. Heath-Brown, J. -C. Puchta
It is shown that every sufficiently large even integer is a sum of two primes and exactly 13 powers of 2. Under the Generalized Rieman Hypothesis one can replace 13 by 7. Unlike pr…