Proofs of some conjectures of Chan and Wang on congruences for $$(q;q)_\infty ^{\frac{a}{b}}$$
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DOI: 10.1007/s11139-019-00207-3
Abstract: Recently, Chan and Wang proved numerous congruences satisfied by $$p_{a/b}(n)$$, where $$p_{a/b}(n)$$ denotes the coefficient of $$q^n$$ in the series expansion of $$(q;q)_\infty ^{\frac{a}{b}}$$. Moreover, they presented many conjectures on the congruences for $$p_{a/b}(n)$$. In… read more here.
Keywords: proofs conjectures; wang congruences; chan wang; conjectures chan ... See more keywords