Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

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 ...

Let d(n), respectively σ(n), stand for the number, respectively the sum, of the positive divisors of n, and let φ be Euler's totient function. Also let d₃(n) be the number of solutions of a₁a₂a₃ = n ...

For novices, functions are one of the most intimidating features of OpenOffice.org's Calc. Newcomers quickly learn that functions are a main feature of spreadsheets, but there are almost four hundred, ...

The emphasis of the conference will be on recent spectacular developments in the Arithmetic of Function Fields, in particular, the theory of Drinfeld moduli spaces, Drinfeld modular forms, their ...

Everyone knows that arithmetic is true: 2 + 2 = 4. But surprisingly, we don’t know why it’s true. By stepping outside the box of our usual way of thinking about numbers, my colleagues and I have ...