Group Actions on Partitions
Copyright policy ) Byungchan Kim;
Group Actions on Partitions
We introduce group actions on the integer partitions and their variances. Using generating functions and Burnside's lemma, we study arithmetic properties of the counting functions arising from group actions. In particular, we find a modulo 4 congruence involving the number of ordinary partitions and the number of partitions into distinct parts.
- Seoul National University of Science and Technology Korea (Republic of)
Combinatorial aspects of partitions of integers, partitions, partition congruence, Bailey pairs, Elementary theory of partitions, group action, unimodal sequences, Bailey lemma
Combinatorial aspects of partitions of integers, partitions, partition congruence, Bailey pairs, Elementary theory of partitions, group action, unimodal sequences, Bailey lemma
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selected citations
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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