This project implements neural networks for performing modular arithmetic tasks, specifically modular addition and multiplication. The neural network models are trained and evaluated using a dataset ...

Lecture notes, assignments, and other materials for a one-semester introductory course on topics in number theory, modular arithmetic, abstract algebra, and computer science applications thereof.

You may never have heard of modular arithmetic, but you use it every day without the slightest difficulty. In this system, numbers wrap around when they reach a certain size called the modulus; it is ...

Abstract: We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The so-called polynomial modular number system (PMNS) allows for fast polynomial ...