A bound for the 3-part of class numbers of quadratic fields by means of the square sieve
Publication
, Journal Article
Pierce, LB
Published in: Forum Mathematicum
2006
We prove a nontrivial bound of O(D27/56+ε) for the 3-part of the class number of a quadratic field (√D) by using a variant of the square sieve and the q-analogue of van der Corput's method to count the number of squares of the form 4x3 - dz2 for a square-free positive integer d and bounded x, z. © de Gruyter 2006.
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Published In
Forum Mathematicum
DOI
ISSN
0933-7741
Publication Date
2006
Volume
18
Issue
4
Start / End Page
677 / 698
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
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MLA
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Pierce, L. B. (2006). A bound for the 3-part of class numbers of quadratic fields by means of the square sieve. Forum Mathematicum, 18(4), 677–698. https://doi.org/10.1515/FORUM.2006.034
Pierce, L. B. “A bound for the 3-part of class numbers of quadratic fields by means of the square sieve.” Forum Mathematicum 18, no. 4 (2006): 677–98. https://doi.org/10.1515/FORUM.2006.034.
Pierce LB. A bound for the 3-part of class numbers of quadratic fields by means of the square sieve. Forum Mathematicum. 2006;18(4):677–98.
Pierce, L. B. “A bound for the 3-part of class numbers of quadratic fields by means of the square sieve.” Forum Mathematicum, vol. 18, no. 4, 2006, pp. 677–98. Scival, doi:10.1515/FORUM.2006.034.
Pierce LB. A bound for the 3-part of class numbers of quadratic fields by means of the square sieve. Forum Mathematicum. 2006;18(4):677–698.
Published In
Forum Mathematicum
DOI
ISSN
0933-7741
Publication Date
2006
Volume
18
Issue
4
Start / End Page
677 / 698
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics