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math.CO2018★ 2 cited
Zeros of the Möbius function of permutations
Robert Brignall, Vít Jelínek, Jan Kynčl +1
We show that if a permutation contains two intervals of length 2, where one interval is an ascent and the other a descent, then the Möbius function of the interval $[1,π…
math.CO2018
Intervals of permutations and the principal Möbius function
Robert Brignall, David Marchant
We show that the proportion of permutations of length with principal Möbius function equal to zero, , is asymptotically bounded below by 0.3995. If a permutation cont…