Determination of hauptmoduls and construction of abelian extensions of quadratic number fields

dc.citation.epage	346	en_US
dc.citation.issue	3	en_US
dc.citation.spage	334	en_US
dc.citation.volume	50	en_US
dc.citation.woscount	0
dc.contributor.author	Chiang-Hsieh, Hung-Jen	en_US
dc.contributor.author	Yang, Yifan	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2014-12-08T15:13:28Z
dc.date.available	2014-12-08T15:13:28Z
dc.date.issued	2007-09-01	en_US
dc.description.abstract	We obtain Hauptmoduls of genus zero congruence subgroups of the type T-0(+)(p) := T-0(p) + wp, where p is a prime and wp is the Atkin-Lehner involution. We then use the Hauptmoduls, along with modular functions on T, (p) to construct families of cyclic extensions of quadratic number fields. Further examples of cyclic extension of bi-quadratic and tri-quadratic number fields are also given.	en_US
dc.identifier.issn	0008-4395	en_US
dc.identifier.journal	CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/10407
dc.identifier.wosnumber	WOS:000248939300002
dc.language.iso	en_US	en_US
dc.title	Determination of hauptmoduls and construction of abelian extensions of quadratic number fields	en_US
dc.type	Article	en_US

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