54 citations · 241 across the 42 of their papers we have counts for
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math.NT2013★ 9 cited
Rational points on intersections of cubic and quadric hypersurfaces
T. D. Browning, R. Dietmann, D. R. Heath-Brown
We investigate the Hasse principle for complete intersections cut out by a quadric and cubic hypersurface defined over the rational numbers.
math.NT2013★ 3 cited
Zeros of Pairs of Quadratic Forms
D. R. Heath-Brown
We prove the Hasse principle and weak approximation for varieties defined over number fields by the nonsingular intersection of pairs of quadratic forms in 8 variables. The argumen…
math.NT2013★ 18 cited
On simple zeros of the Riemann zeta-function
H. M. Bui, D. R. Heath-Brown
We show that at least 19/27 of the zeros of the Riemann zeta-function are simple, assuming the Riemann Hypothesis (RH). This was previously established by Conrey, Ghosh and Gonek […