12 citations · 23 across the 9 of their papers we have counts for
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math.NT2014★ 1 cited
Averages and moments associated to class numbers of imaginary quadratic fields
D. R. Heath-Brown, L. B. Pierce
For any odd prime , let denote the -part of the class number of the imaginary quadratic field . Nontrivial pointwise upper bounds ar…
math.NT2014★ 9 cited
Burgess bounds for short mixed character sums
D. R. Heath-Brown, L. B. Pierce
This paper proves nontrivial bounds for short mixed character sums by introducing estimates for Vinogradov's mean value theorem into a version of the Burgess method.