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math.CO2014
An overpartition analogue of the -binomial coefficients
Jehanne Dousse, Byungchan Kim
We define an overpartition analogue of Gaussian polynomials (also known as -binomial coefficients) as a generating function for the number of overpartitions fitting inside the $…
math.CO2014
A generalisation of a partition theorem of Andrews to overpartitions
Jehanne Dousse
In 1969, Andrews proved a theorem on partitions with difference conditions which generalises Schur's celebrated partition identity. In this paper, we generalise Andrews' theorem to…