Universality theorems occupy a central role in analytic number theory, demonstrating that families of analytic functions—including the prototypical Riemann zeta-function—can approximate an extensive ...

Hypergeometric functions are at the heart of many analytical and applied mathematical investigations. These functions, generally defined via power series that extend the geometric series, have been ...

A key fact in the theory of Boolean functions f: {0, 1}n → {0, 1} is that they often undergo sharp thresholds. For example, if the function f: {0, 1}n → {0, 1} is monotone and symmetric under a ...