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

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Class Groups of Number Fields and Related Topics
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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.

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Correspondence to Yasuhiro Kishi .

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Kawamoto, F., Kishi, Y. (2020). A Lower Bound for the Class Number of Certain Real Quadratic Fields. In: Chakraborty, K., Hoque, A., Pandey, P. (eds) Class Groups of Number Fields and Related Topics. Springer, Singapore. https://doi.org/10.1007/978-981-15-1514-9_4

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