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- W2963670141 abstract "A generalized crank ( k -crank) for k -colored partitions is introduced. Following the work of Andrews–Lewis and Ji–Zhao, we derive two results for this newly defined k -crank. Namely, we first obtain some inequalities between the k -crank counts M k ( r , m , n ) for m = 2 , 3 and 4, then we prove the positivity of symmetrized even k -crank moments weighted by the parity for k = 2 and 3. We conclude with several remarks on furthering the study initiated here." @default.
- W2963670141 created "2019-07-30" @default.
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- W2963670141 date "2018-03-01" @default.
- W2963670141 modified "2023-10-03" @default.
- W2963670141 title "On a generalized crank for k-colored partitions" @default.
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- W2963670141 doi "https://doi.org/10.1016/j.jnt.2017.08.033" @default.
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