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math.CO2026
Signed Counting on Restricted Partitions and Combinatorial Proofs of Three Identities
Shishuo Fu, Chenwei Wang
Signed enumerations of l-regular partitions by the parity of the number of parts are known to correspond to partitions with congruence conditions. Inspired by the recent combinator…
math.CO2024
Permanent identities, combinatorial sequences, and permutation statistics
Shishuo Fu, Zhicong Lin, Zhi-Wei Sun
In this paper, we confirm six conjectures on the exact values of some permanents, relating them to the Genocchi numbers of the first and second kinds as well as the Euler numbers.…