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- Publications
- Influence
An Introduction to the Theory of Numbers, Sixth Edition
- G. H. Hardy, Joseph S. Wright, D. R. Heath-Brown
- Mathematics
- 2008
Read more and get great! That's what the book enPDFd an introduction to the theory of numbers 5th edition will give for every reader to read this book. This is an on-line book provided in this… Expand
Prime numbers in short intervals and a generalized Vaughan identity
- D. R. Heath-Brown
- Mathematics
- 1 December 1982
Integer Sets Containing No Arithmetic Progressions
- D. R. Heath-Brown
- Mathematics
- 1 June 1987
lfh and k are positive integers there exists N(h, k) such that whenever N ^ N(h, k), and the integers 1,2,...,N are divided into h subsets, at least one must contain an arithmetic progression of… Expand
The density of rational points on cubic surfaces
- D. R. Heath-Brown
- Mathematics
- 1997
NF (P ) = N(P ) = #{x ∈ Z4 : F (x) = 0, |x| ≤ P}, where |x| is the Euclidean length of x. This paper is concerned with the behaviour of N(P ) as P tends to infinity. It is clear that if the surface F… Expand
The size of Selmer groups for the congruent number problem, II
where Np is the number of solutions of the congruence y ≡ x −D2x (mod p). Then LD(s) has an analytic continuation as an entire function on the complex plane. The conjecture of Birch and… Expand
Cubic forms in 14 variables
- D. R. Heath-Brown
- Mathematics
- 13 June 2007
The result can be rephrased in geometric language to say that any projective cubic hypersurface defined over Q, of dimension at least 12, has a Q-point. Davenport’s result was extended to arbitrary… Expand
HYBRID BOUNDS FOR DIRICHLET L-FUNCTIONS II
- D. R. Heath-Brown
- Mathematics
- 1 June 1980
for any e > 0. This estimate has had many applications, for example to sharpenings of the Brun-Titchmarsh theorem on primes in arithmetic progressions. Burgess' bound (2) is weaker than the trivial… Expand
Weyl's Inequality, Hua's Inequality, and Waring's Problem
- D. R. Heath-Brown
- Mathematics
- 1 October 1988