Averages and moments associated to class numbers of imaginary quadratic fields
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.
Heath-Brown, DR; Pierce, LB
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