Some results on number theory and differential equations

TL;DR

This paper presents a theorem in number theory and demonstrates its application to solving certain ordinary and partial differential equations, bridging two mathematical areas.

Contribution

It introduces a new number theory theorem and applies it to differential equations, offering novel methods for their solutions.

Findings

Theorem provides new insights in number theory.

Application to differential equations yields new solution techniques.

Bridges number theory and differential equations in a novel way.

Abstract

In this work we state a Theorem on number theory and apply it to solve some ordinary and partial differential equations.