Juan S. Auli

activity

20162020

most citedConsecutive patterns in inversion sequences II: avoiding patterns of relations

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

collaborators

4 papers

math.CO2020

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…

math.CO2019★ 1 cited

Consecutive patterns in inversion sequences II: avoiding patterns of relations

Juan S. Auli, Sergi Elizalde

Inversion sequences are integer sequences $e = e_{1} e_{2} \dots e_{n}$ such that $0 \leq e_{i} < i$ for each $i$ . The study of patterns in inversion sequences was initiated by Corteel--M…

math.CO2019

Consecutive Patterns in Inversion Sequences

Juan S. Auli, Sergi Elizalde

An inversion sequence of length $n$ is an integer sequence $e = e_{1} e_{2} \dots e_{n}$ such that $0 \leq e_{i} < i$ for each $i$ . Corteel--Martinez--Savage--Weselcouch and Mansour--Shat…

math.NT2016

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…