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| A Note on 3-Divisibility of Class Number of Quadratic Field* |
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Citation： |
Jianfeng XIE.A Note on 3-Divisibility of Class Number of Quadratic Field*[J].Chinese Annals of Mathematics B,2022,43(2):307~318 |
| Page view： 813
Net amount： 636 |
Authors： |
Jianfeng XIE; |
Foundation： |
Anhui Initiative in Quantum Information Technologies (No. AHY150200). |
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| Abstract： |
In this paper, the authors show that there exists infinitely many family of pairs of quadratic fields Q(√D) and Q(√D + n) with D, n ∈ Z whose class numbers are both divisible by 3. |
Keywords： |
Quadratic field, Class number, Hilbert class field |
Classification： |
11R29, 11R11 |
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