David Heath-Brown - Selected Publications#

Zero-free regions for Dirichlet L-functions, and the least prime in an arithmetic progression.
Proc. London Math. Soc. (3) 64 (1992), no. 2, 265–338. (84 citations on MathSciNet)

Prime numbers in short intervals and a generalized Vaughan identity. Canad. J. Math. 34 (1982),
no. 6, 1365–1377. (70 citations on MathSciNet)

The density of rational points on curves and surfaces. Ann. of Math. (2) 155 (2002),
no. 2, 553–595. (68 citations on MathSciNet)

New bounds for Gauss sums derived from k-th powers, and for Heilbronn's exponential sum.
Q. J. Math. 51 (2000), no. 2, 221–235. (With S Konyagin) (64 citations on MathSciNet)

Artin's conjecture for primitive roots. Quart. J. Math. Oxford Ser. (2) 37 (1986),
no. 145, 27–38. (61 citations on MathSciNet)

A mean value estimate for real character sums. Acta Arith. 72 (1995),
no. 3, 235–275. (59 citations on MathSciNet)

The distribution and moments of the error term in the Dirichlet divisor problem.
Acta Arith. 60 (1992), no. 4, 389–415. (55 citations on MathSciNet)

The Pjateckiĭ-Šapiro prime number theorem. J. Number Theory 16 (1983),
no. 2, 242–266. (55 citations on MathSciNet)

Integer sets containing no arithmetic progressions. J. London Math. Soc. (2) 35 (1987),
no. 3, 385–394. (52 citations on MathSciNet)

The size of Selmer groups for the congruent number problem. II. With an appendix
by P. Monsky. Invent. Math. 118 (1994), no. 2, 331–370. (47 citations on MathSciNet)