In this paper we refine the well-known permutation statistic “descent” by fixing parity of (exactly) one of the descent’s numbers. We provide explicit formulas for the distribution of these (four) new statistics. We use certain differential operators to obtain the formulas. Moreover, we discuss connection of our new statistics to the Genocchi numbers. We also provide bijective proofs of some of our results
AbstractGiven sets X and Y of positive integers and a permutation σ=σ1σ2⋯σn∈Sn, an (X,Y)-descent of ...
AbstractThe definitions of descent, excedance, major index, inversion index and Denert's statistics ...
We establish parity theorems for statistics on the symmetric group Sn, the derangements Dn, and the ...
In this paper we refine the well-known permutation statistic “descent ” by fixing parity of (exactly...
AMS Subject Classication: 05A15 Abstract. In this paper we rene the well-known permutation statistic...
In [5] the authors re¯ne the well-known permutation statistic \descent" by ¯xing parity of one of th...
In an earlier paper the authors refine the well-known permutation statistic "descent" by fixing pari...
Recently, Kitaev and Remmel [9] re¯ned the well-known permutation statistic \descent" by ¯xing parit...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
2018-04-06The distribution of descents in certain conjugacy classes of Sₙ have been previously studi...
Recently, Kitaev and Remmel refined the well-known permutation statistic “descent ” by fixing parity...
The study of permutations and permutation statistics dates back hundreds of years to the time of Eul...
Recently, Kitaev and Remmel [9] refined the well-known permutation statistic “descent ” by fixing pa...
AbstractGiven sets X and Y of positive integers and a permutation σ=σ1σ2⋯σn∈Sn, an (X,Y)-descent of ...
AbstractThe definitions of descent, excedance, major index, inversion index and Denert's statistics ...
We establish parity theorems for statistics on the symmetric group Sn, the derangements Dn, and the ...
In this paper we refine the well-known permutation statistic “descent ” by fixing parity of (exactly...
AMS Subject Classication: 05A15 Abstract. In this paper we rene the well-known permutation statistic...
In [5] the authors re¯ne the well-known permutation statistic \descent" by ¯xing parity of one of th...
In an earlier paper the authors refine the well-known permutation statistic "descent" by fixing pari...
Recently, Kitaev and Remmel [9] re¯ned the well-known permutation statistic \descent" by ¯xing parit...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
International audienceWe introduce a new statistic based on permutation descents which has a distrib...
2018-04-06The distribution of descents in certain conjugacy classes of Sₙ have been previously studi...
Recently, Kitaev and Remmel refined the well-known permutation statistic “descent ” by fixing parity...
The study of permutations and permutation statistics dates back hundreds of years to the time of Eul...
Recently, Kitaev and Remmel [9] refined the well-known permutation statistic “descent ” by fixing pa...
AbstractGiven sets X and Y of positive integers and a permutation σ=σ1σ2⋯σn∈Sn, an (X,Y)-descent of ...
AbstractThe definitions of descent, excedance, major index, inversion index and Denert's statistics ...
We establish parity theorems for statistics on the symmetric group Sn, the derangements Dn, and the ...
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