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Chakraborty, Kalyan
- Divisibility of Class Numbers of Certain Families of Quadratic Fields
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1 Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211 019, IN
1 Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211 019, IN
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Journal of the Ramanujan Mathematical Society, Vol 34, No 3 (2019), Pagination: 281-289Abstract
We construct some families of quadratic fields whose class numbers are divisible by 3. The main tools used are a trinomial introduced by Kishi and a parametrization of Kishi and Miyake of a family of quadratic fields whose class numbers are divisible by 3. At the end we compute class number of these fields for some small values and verify our results.References
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