A Note on 3-Divisibility of Class Number of Quadratic Field*

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
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Authors:

Jianfeng XIE;

Foundation:

Anhui Initiative in Quantum Information Technologies (No. AHY150200).
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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