# Zero Spacings of Paraorthogonal Polynomials on the Unit Circle

## TL;DR

This paper investigates the spacing between zeros of paraorthogonal polynomials on the unit circle, offering new results and proofs using phase formulas of Blaschke products.

## Contribution

It provides novel insights into zero spacings of paraorthogonal polynomials and introduces new proof techniques leveraging Blaschke product phases.

## Key findings

- New bounds on zero spacings
- Alternative proofs of existing results
- Enhanced understanding of zero distribution

## Abstract

We prove some new results about the spacing between neighboring zeros of paraorthogonal polynomials on the unit circle. Our methods also provide new proofs of some existing results. The main tool we will use is a formula for the phase of the appropriate Blaschke product at points on the unit circle.