## Recurrence Ranks of Sequences

- March 5, 2021
- 2:30 p.m.

## Abstract

We introduce the “moment rank” and “unitary rank” of numerical sequences, close relatives of linear-recursive order. We show that both parameters can be characterized by a broad set of criteria involving moments of measures, types of recurrence relations, Hankel matrix factorizations, analytic properties of generating functions, and algebraic properties of polynomial ideals. Additionally, we provide some application to spectral graph/hypergraph theory.