Congruences modulo 3 for two interesting partitions arising from two theta function identities
Abstract
We find several interesting congruences modulo
for
-core partitions and two color partitions.
![3](http://siba-ese.unile.it/plugins/generic/latexRender/cache/eccbc87e4b5ce2fe28308fd9f2a7baf3.png)
![5](http://siba-ese.unile.it/plugins/generic/latexRender/cache/e4da3b7fbbce2345d7772b0674a318d5.png)
DOI Code:
10.1285/i15900932v36n2p61
Keywords:
$t$-core partition; Theta function; Dissection; Congruence
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