On Rademacher's conjecture: congruence subgroups of genus zero of the modular group

dc.citation.epage	428	en_US
dc.citation.spage	408	en_US
dc.citation.volume	277	en_US
dc.citation.woscount	5	en_US
dc.contributor.author	Chua, KS	en_US
dc.contributor.author	Lang, ML	en_US
dc.contributor.author	Yang, YF	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2019-04-02T06:00:16Z
dc.date.available	2019-04-02T06:00:16Z
dc.date.issued	2004-07-01	en_US
dc.description.abstract	We list all genus zero congruence subgroups of PSL2(Z). There are altogether 132 of them (up to conjugation in PSL2(Z)). Geometrical invariants (genus, upsilon(2), upsilon(3), number of cusps, index in PSL2(Z)), fundamental polygons, Farey symbol, and independent generators of all such groups are determined. Generators of the function fields associated to such groups are also determined (http://www.math.nus.edu.sg/-matlm1/). (C) 2004 Elsevier Inc. All rights reserved.	en_US
dc.identifier.doi	10.1016/j.jalgebra.2004.02.025	en_US
dc.identifier.issn	0021-8693	en_US
dc.identifier.journal	JOURNAL OF ALGEBRA	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.jalgebra.2004.02.025	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/148802
dc.identifier.wosnumber	WOS:000221887800020	en_US
dc.language.iso	en_US	en_US
dc.subject	congruence subgroups	en_US
dc.subject	modular group	en_US
dc.subject	genus	en_US
dc.subject	hauptmodul	en_US
dc.title	On Rademacher's conjecture: congruence subgroups of genus zero of the modular group	en_US
dc.type	Article	en_US

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