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http://dx.doi.org/10.4134/JKMS.2014.51.2.225

IDENTITIES FOR 3-CORE AND 5-CORE PARTITIONS  

Park, Yoon Kyung (School of Mathematics Korea Institute for Advanced Study)
Publication Information
Journal of the Korean Mathematical Society / v.51, no.2, 2014 , pp. 225-238 More about this Journal
Abstract
We apply modular function theory to find the relation among t-core partitions. By using the generators of function field corresponding to a certain modular group, we reprove the identities in [1] because their relations are linear for t = 3 or 5.
Keywords
t-cores; modular functions;
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