Some congruences for 12-coloured generalized Frobenius partitions
Su-Ping Cui,
Nancy S. S. Gu,
Dazhao Tang
Abstract:In his 1984 AMS Memoir, Andrews introduced the family of functions
$c\phi_k(n)$
, the number of k-coloured generalized Frobenius partitions of n. In 2019, Chan, Wang and Yang systematically studied the arithmetic properties of
$\textrm{C}\Phi_k(q)$
for
$2\leq k\leq17$
by utilizing the theory of modular forms, where
$\textrm{C}\Phi_k(q)$
denotes the generating function of
$c\phi_k(n)$
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