A Lower Bound for the Class Number of Certain Real Quadratic Fields

Fuminori Kawamoto () and Yasuhiro Kishi ()
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Fuminori Kawamoto: Gakushuin University, Faculty of Science, Department of Mathematics
Yasuhiro Kishi: Aichi University of Education, Faculty of Education, Department of Mathematics

A chapter in Class Groups of Number Fields and Related Topics, 2020, pp 43-56 from Springer

Abstract: Abstract We construct some real quadratic fields whose class number is more than one from a class of sequences of positive integers. We also give a lower bound on the class number of such fields using Tatuzawa’s theorem and Yokoi invariant.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-15-1514-9_4

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DOI: 10.1007/978-981-15-1514-9_4

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