D
D. R. Heath-Brown
Researcher at University of Oxford
Publications - 165
Citations - 9347
D. R. Heath-Brown is an academic researcher from University of Oxford. The author has contributed to research in topics: Number theory & Prime (order theory). The author has an hindex of 40, co-authored 163 publications receiving 8619 citations. Previous affiliations of D. R. Heath-Brown include Max Planck Society & University of Cambridge.
Papers
More filters
Book
The Theory of the Riemann Zeta-Function
TL;DR: The Riemann zeta-function embodies both additive and multiplicative structures in a single function, making it one of the most important tools in the study of prime numbers as mentioned in this paper.
Journal ArticleDOI
The density of rational points on curves and surfaces
TL;DR: In this article, it was shown that for irreducible projective surfaces, there are rational points of height at most at most Ω(n 2/d+n 2+n 1/n+1/n) for any √ varepsilon > 0.
Journal ArticleDOI
Zero-free regions for Dirichlet $L$-functions, and the least prime in an arithmetic progression
Journal ArticleDOI
A mean value estimate for real character sums
TL;DR: Theorem 6.2 of Montgomery and Gallagher as discussed by the authors follows the 6.1 of Montgomery [6] and from the large sieve in the form due to Gallagher [2], for example, in the sense that the upper bound is composed of two terms, the first reflecting the long term average and the second reflecting the contribution of a single point where the Dirichlet polynomial is large.