Math @ Duke

Publications [#302452] of Lillian B. Pierce
Papers Published
 Pierce, LB, A bound for the 3part of class numbers of quadratic fields by means of the square sieve,
Forum Mathematicum, vol. 18 no. 4
(2006),
pp. 677698, ISSN 09337741 [doi]
(last updated on 2018/03/24)
Abstract: We prove a nontrivial bound of O(D27/56+ε) for the 3part of the class number of a quadratic field (√D) by using a variant of the square sieve and the qanalogue of van der Corput's method to count the number of squares of the form 4x3  dz2 for a squarefree positive integer d and bounded x, z. © de Gruyter 2006.


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