# Zeilberger to the rescue

## TL;DR

This paper presents human and computer-assisted proofs for four recent mathematical problems, demonstrating the effectiveness of collaborative proof strategies and exploring potential combinatorial identities derived from one problem.

## Contribution

It introduces a hybrid proof approach combining human and computer methods for solving complex mathematical problems and uncovers new combinatorial identities.

## Key findings

- Successful proofs of four recent problems using hybrid methods
- Identification of potential new combinatorial identities from problem 11928
- Demonstration of collaboration benefits between human intuition and computer computation

## Abstract

We provide both human and computer (even better collaboration between the two) proofs to four recent American Mathematical Monthly problems, namely problem 11897, problem 11899, problem 11916, and problem 11928. We also show that problem 11928 may lead to interesting combinatorial identities.