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20242026
most citedParity statistics on restricted permutations and the Catalan--Schett polynomials

1 citations · 1 across the 8 of their papers we have counts for

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8 papers

math.CO2026

The -analogues of -positivity of Eulerian polynomials via group actions

Taifeng Ding, Lintong Wang, Sherry H. F. Yan

Han, Jouhet and Zeng established -analogues of the -expansion formulas for Eulerian polynomials of types and . Combinatorial interpretations of the corresponding coeff…

math.CO2026

On two conjectures concerning special kinds of descents on permutations

Taifeng Ding, Sherry H. F. Yan

In this paper, we prove the continued fraction conjecture posed by Han, Mao and Zeng for the generating function of permutations with respect to the number of descents of type

math.CO2026

Bijective proofs of several conjectures on Jacobi permutations

Zhicong Lin, Yongzhou Wen, Sherry H. F. Yan

Jacobi permutations, invented by Viennot in the context of the Jacobi elliptic functions, are counted by the Euler numbers. Recently, Henke, Hoffman, Stephens, Yuan, and Zhuang stu…

math.CO2026

Further refinements of Euler-Mahonian statistics for multipermutations

Kaimei Huang, Yongzhou Wen, Sherry H. F. Yan

Permutation statistics constitute a classical subject of enumerative combinatorics. In her study of the genus zeta function, Denert discovered a new Mahonian statistic for permutat…

math.CO2025

Further results on -Euler-Mahonian statistics

Kaimei Huang, Sherry H. F. Yan

As natural generalizations of the descent number ($\des$) and the major index ($\maj$), Rawlings introduced the notions of the -descent number ($r\des$) and the -major index…

math.CO2025

Combinatorics on bi--positivity of -Eulerian polynomials

Sherry H. F. Yan, Xubo Yang, Zhicong Lin

The -Eulerian polynomials were introduced as ascent polynomials over -inversion sequences by Savage and Viswanathan. The bi--positivity of the -Eul…