On the Fermat-type equation $${f^3(z)+f^3(z+c)=1}$$.

A paper regarding the non-existence of finite order meromorphic solutions to the Fermat-type difference equation over the complex plane C is presented. Topics discussed in Nevanlinna theory, Weierstrass's elliptic function, and function analogues to the Fermat diophantine equations. Results of the description of a property of meromorphic solutions to equation in C is offered.