# Composite Rational Functions and Arithmetic Progressions

## TL;DR

This paper studies composite rational functions with zeros and poles in arithmetic progression, correcting previous results and exploring their structural properties.

## Contribution

It introduces new insights into the structure of composite rational functions with zeros and poles in arithmetic progression and corrects earlier published results.

## Key findings

- Characterization of zeros and poles in arithmetic progression
- Correction of previous theoretical results
- Structural properties of composite rational functions

## Abstract

In this paper we deal with composite rational functions having zeros and poles forming consecutive elements of an arithmetic progression. We also correct a result published earlier related to composite rational functions having a fixed number of zeros and poles.