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CONGRUENCES MODULO 2 FOR CERTAIN PARTITION FUNCTIONS
Published online by Cambridge University Press: 11 November 2015
Abstract
Let $b_{3,5}(n)$ denote the number of partitions of $n$ into parts that are not multiples of 3 or 5. We establish several infinite families of congruences modulo 2 for $b_{3,5}(n)$. In the process, we also prove numerous parity results for broken 7-diamond partitions.
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- © 2015 Australian Mathematical Publishing Association Inc.
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