CONGRUENCES MODULO 5 AND 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS

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DC Field	Value	Language
dc.contributor.author	Chan, Heng Huat	en_US
dc.contributor.author	Wang, Liuquan	en_US
dc.contributor.author	Yang, Yifan	en_US
dc.date.accessioned	2018-08-21T05:54:33Z	-
dc.date.available	2018-08-21T05:54:33Z	-
dc.date.issued	2017-10-01	en_US
dc.identifier.issn	1446-7887	en_US
dc.identifier.uri	http://dx.doi.org/10.1017/S1446788716000616	en_US
dc.identifier.uri	http://hdl.handle.net/11536/146104	-
dc.description.abstract	Let c phi(k)(n) denote the number of k-colored generalized Frobenius partitions of n. Recently, new Ramanujan-type congruences associated with c phi(4)(n) were discovered. In this article, we discuss two approaches in proving such congruences using the theory of modular forms. Our methods allow us to prove congruences such as c phi(4)(14n + 6) 0 mod 7 and Seller's congruence c phi(4)(10n + 6) 0 mod 5.	en_US
dc.language.iso	en_US	en_US
dc.subject	congruences	en_US
dc.subject	generalized Frobenius partitions	en_US
dc.subject	theta functions	en_US
dc.subject	eta-products	en_US
dc.title	CONGRUENCES MODULO 5 AND 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1017/S1446788716000616	en_US
dc.identifier.journal	JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY	en_US
dc.citation.volume	103	en_US
dc.citation.spage	157	en_US
dc.citation.epage	176	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.identifier.wosnumber	WOS:000411405500002	en_US
Appears in Collections:	Articles