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dc.contributor.authorYang, Yifanen_US
dc.date.accessioned2019-04-02T06:00:14Z-
dc.date.available2019-04-02T06:00:14Z-
dc.date.issued2009-07-15en_US
dc.identifier.issn0021-8693en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.jalgebra.2009.04.012en_US
dc.identifier.urihttp://hdl.handle.net/11536/149788-
dc.description.abstractIn this article, we consider the group F-1(infinity)(N) of modular units on X-1(N) that have divisors supported on the cusps lying over infinity of X-0(N), called the infinity-cusps. For each positive integer N, we will give an explicit basis for the group F-1(infinity)(N). This enables us to compute the group structure of the rational torsion subgroup l(1)(infinity)(N) of the Jacobian J(1)(N) of X-1(N) generated by the differences of the infinity-cusps. In addition, based on our numerical computation, we make a conjecture on the structure of the p-primary part of l(1)(infinity)(p(n)) for a regular prime p. (C) 2009 Elsevier Inc. All rights reserved.en_US
dc.language.isoen_USen_US
dc.subjectModular unitsen_US
dc.subjectCuspidal divisor class groups of modular curvesen_US
dc.titleModular units and cuspidal divisor class groups of X-1(N)en_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.jalgebra.2009.04.012en_US
dc.identifier.journalJOURNAL OF ALGEBRAen_US
dc.citation.volume322en_US
dc.citation.spage514en_US
dc.citation.epage553en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000266506100012en_US
dc.citation.woscount7en_US
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