Recent investigations probe the arithmetic properties of these functions, exploring congruence relations and modular behaviour that reveal surprising regularities.

Presburger arithmetic is the first-order theory of the natural numbers with addition (but no multiplication). We characterize sets that can be defined by a Presburger formula as exactly the sets whose ...

Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...

Arithmetic of Function Fields Dedicated to the memory of David Goss June 26 - June 30, 2017 Münster, Germany Our friend and colleague David Goss was an invited speaker, but tragically passed away on ...

NTT demonstrates arithmetic functions using SE transistorsRichard Ball Single electron transistors (SETs) have been the subject of much research, especiallyby Japanese firms, and now NTT has taken a ...

Humans have been making symbols for numbers for thousands of years. Different cultures developed their own symbols, but all use addition and multiplication, suggesting arithmetic is a universal truth.