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A proof of the Baruah--Gogoi conjecture on sums of odd and even overlined parts

Liu, Eric H. et al.
arXiv (All) · Papers
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number-theory
Andrews and Dastidar introduced the statistic $\SOME(n)$, defined as the difference between the sum of all odd parts and the sum of all even parts occurring in the partitions of $n$, and investigated its arithmetic properties. Motivated by their work, Baruah and Gogoi defined two analogous statistic
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