The case k = a of the 1974 conjecture of Andrews on two partition functions A(lambda,k,a) (n) and B-lambda,B-k,B-a (n) was proved by the first author and T.G. Sudha [On a conjecture of Andrews, Internat. J. Math. and Math. Sci. Vol. 16, No. 4 (1993), 763-774]. In this paper we prove the two cases of k = a + 1 and k = a + 2 of the same conjecture.
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Sichuan Normal Univ, Sch Math Sci, Chengdu 610068, Sichuan, Peoples R ChinaSichuan Normal Univ, Sch Math Sci, Chengdu 610068, Sichuan, Peoples R China
He, Thomas Y.
Ji, Kathy Q.
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Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R ChinaSichuan Normal Univ, Sch Math Sci, Chengdu 610068, Sichuan, Peoples R China
Ji, Kathy Q.
Zhao, Alice X. H.
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Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R ChinaSichuan Normal Univ, Sch Math Sci, Chengdu 610068, Sichuan, Peoples R China