The residue number system (RNS) has emerged as a robust alternative to conventional binary arithmetic, offering significant advantages through its inherent parallelism. By representing numbers as a ...

A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. Joseph Silverman remembers when he began connecting ...

Locally repairable codes (LRCs) play a vital role in modern distributed storage systems by enabling efficient data recovery with minimal network overhead. These error‐correcting schemes allow any lost ...

The p-adics form an infinite collection of number systems based on prime numbers. They’re at the heart of modern number theory. The rational numbers are the most familiar numbers: 1, -5, ½, and every ...