Congruences for an arithmetic function from 3-colored Frobenius partitions

Details Congruences for an arithmetic function from 3-colored Frobenius partitions Congruences for an arithmetic function from 3-colored Frobenius partitions

2010-03-02

arxiv.org/abs/1003.0509v3

Mathematics

Number Theory

5 pages

Scientific paper

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

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