# Restricted sums of four integral squares

## TL;DR

This paper presents a straightforward quaternionic proof of a recent mathematical result concerning the representation of numbers as sums of four integral squares, focusing on restricted sums.

## Contribution

It introduces a simple quaternionic approach to prove a recent theorem on restricted sums of four integral squares, offering an alternative to previous proofs.

## Key findings

- Quaternionic proof simplifies understanding of the theorem
- Provides new insights into sums of four squares
- Validates the recent result through an alternative method

## Abstract

We give a simple quaternionic proof of a recent result of Goldmakher and Pollack on restricted sums of four integral squares.