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math.CO2026
Connections between colored restricted -ary and ordinary partitions
Karl Dilcher, Larry Ericksen
We establish various connections between classes of colored and bounded ordinary partitions on one hand, and colored but not necessarily bounded binary and -ary partitions on th…
math.CO2026
New central -binomial identities
Shane Chern, Karl Dilcher, Lin Jiu
We establish several new series evaluations involving the central -binomial coefficients, with the inspiration coming from earlier work by Vignat and one of the authors on the l…