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math.CO2023
Alder-type partition inequality at the general level
Haein Cho, Soon-Yi Kang, Byungchan Kim
A Known Alder-type partition inequality of level , which involves the second Rogers-Ramanujan identity when the level is 2, states that the number of partitions of into…
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 $…