Congruences modulo powers of 5 for three-colored Frobenius partitions

Details Congruences modulo powers of 5 for three-colored Frobenius partitions Congruences modulo powers of 5 for three-colored Frobenius partitions

2010-02-27

arxiv.org/abs/1003.0072v3

Mathematics

Number Theory

7 pages

Scientific paper

Motivated by a question of Lovejoy \cite{lovejoy}, we show that three-colored
Frobenius partition function $\c3$ and related arithmetic fuction $\cc3$ vanish
modulo some powers of 5 in certain arithmetic progressions.

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