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

doi:10.1007/s11401-022-0319-4

UM > LUI CHE WOO COLLEGE

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Status	已發表Published
	A Note on 3-Divisibility of Class Number of Quadratic Field
	Jianfeng XIE 1; Kuok Fai CHAO2
	2022-03-01
Source Publication	Chinese Annals of Mathematics. Series B
ISSN	0252-9599
Volume	43 Issue:2 Pages:307-318
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.
Keyword	Class Number Hilbert Class Field Quadratic Field
DOI	10.1007/s11401-022-0319-4
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics
WOS ID	WOS:000788595000011
Publisher	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE, SHANGHAI, PEOPLES R CHINA
Scopus ID	2-s2.0-85128973707
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	LUI CHE WOO COLLEGE
Corresponding Author	Jianfeng XIE; Kuok Fai CHAO
Affiliation	1.Wu Wen-Tsun Key Laboratory of Mathematics, School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China 2.Lui Che Woo College, University of Macau, Macao
Corresponding Author Affilication	University of Macau
Recommended Citation GB/T 7714	Jianfeng XIE,Kuok Fai CHAO. A Note on 3-Divisibility of Class Number of Quadratic Field[J]. Chinese Annals of Mathematics. Series B, 2022, 43(2), 307-318.
APA	Jianfeng XIE., & Kuok Fai CHAO (2022). A Note on 3-Divisibility of Class Number of Quadratic Field. Chinese Annals of Mathematics. Series B, 43(2), 307-318.
MLA	Jianfeng XIE,et al."A Note on 3-Divisibility of Class Number of Quadratic Field".Chinese Annals of Mathematics. Series B 43.2(2022):307-318.

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