Class groups of quadratic fields of 3-rank at least 2: Effective bounds |
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| Authors: | Florian Luca Allison M Pacelli |
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| Institution: | a Instituto de Matemáticas, Universidad Nacional Autónoma de México, CP 58089, Morelia, Michoacán, Mexico
b Department of Mathematics, Williams College, Williamstown, MA 01267, USA |
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| Abstract: | In this paper, we give parametric families of both real and complex quadratic number fields whose class group has 3-rank at least 2. As a consequence, we obtain that for all large positive real numbers x, the number of both real and complex quadratic fields whose class group has 3-rank at least 2 and absolute value of the discriminant ?x is >cx1/3, where c is some positive constant. |
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| Keywords: | 11R11 11R29 |
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