9 citations · 12 across the 3 of their papers we have counts for
5 papers
Wilf equivalences between vincular patterns in inversion sequences
Juan S. Auli, Sergi Elizalde
Inversion sequences are finite sequences of non-negative integers, where the value of each entry is bounded from above by its position. Patterns in inversion sequences have been st…
Consecutive patterns in inversion sequences II: avoiding patterns of relations
Juan S. Auli, Sergi Elizalde
Inversion sequences are integer sequences such that for each . The study of patterns in inversion sequences was initiated by Corteel--M…
Consecutive Patterns in Inversion Sequences
Juan S. Auli, Sergi Elizalde
An inversion sequence of length is an integer sequence such that for each . Corteel--Martinez--Savage--Weselcouch and Mansour--Shat…
Reciprocity Theorems for Bettin--Conrey Sums
Juan S. Auli, Abdelmejid Bayad, Matthias Beck
Recent work of Bettin and Conrey on the period functions of Eisenstein series naturally gave rise to the Dedekind-like sum \[ c_{a}\left(\frac{h}{k}\right) \ = \ k^{a}\sum_{m=1}^{k…
Coefficients of the Inflated Eulerian Polynomial
Juan S. Auli, Ron Graham, Carla D. Savage
It follows from work of Chung and Graham that for a certain family of polynomials , derived from the descent statistic on permutations, the coefficient sequence of $T_{n-…