The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

We characterize the nonreal zeros of the Riemann zeta function and their multiplicities, using the "asymptotic convergence degree" of "improper Riemann sums" for elementary improper integrals. The ...

Non-additive measure theory extends the traditional framework of measure and integration by allowing for measures that do not necessarily satisfy the additivity property. This broader perspective has ...