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math.CO2017
321-avoiding affine permutations and their many heaps
Riccardo Biagioli, Frédéric Jouhet, Philippe Nadeau
We study -avoiding affine permutations, and prove a formula for their enumeration with respect to the inversion number by using a combinatorial approach. This is done in two d…
math.CO2017★ 7 cited
Congruences modulo cyclotomic polynomials and algebraic independence for -series
Boris Adamczewski, Jason P. Bell, Éric Delaygue +1
We prove congruence relations modulo cyclotomic polynomials for multisums of -factorial ratios, therefore generalizing many well-known -Lucas congruences. Such congruences co…