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Publications [#328811] of Lillian B. Pierce

Papers Published

  1. Heath-Brown, DR; Pierce, LB, Averages and moments associated to class numbers of imaginary quadratic fields, Compositio Mathematica, vol. 153 no. 11 (November, 2017), pp. 2287-2309, Oxford University Press (OUP) [doi]
    (last updated on 2019/05/19)

    Abstract:
    © 2017 The Authors. For any odd prime l, let hl(-d)denote the l-part of the class number of the imaginary quadratic field Q(d). Nontrivial pointwise upper bounds are known only for ; nontrivial upper bounds for averages of have previously been known only for averages of hl(-d). In this paper we prove nontrivial upper bounds for the average of for all primesl≥7, as well as nontrivial upper bounds for certain higher moments for all primes ≥3.

 

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