Congruences for an arithmetic function from 3-colored Frobenius partitions

arXiv1003.0509MaRDI QIDQ6217857

Laizhong Song, Xinhua Xiong

Publication date: 2 March 2010

Abstract: Let $a(n)$ defined by $su{m}_{n=1}^{infty}a(n)q^n:=pro{d}_{n=1}^{infty}frac1(1-q^{3n})(1-q^n{)}^3.$ In this note, we prove that for every non-negative integer $n$, a(15n+6) equiv 0pmod{5}, a(15n+12) equiv 0pmod{5}. As a corollary, we obtained some results of Ono

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83)

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