Motivated by a proof without words for the sum of the alternating harmonic series, this article delves into some interesting questions regarding a series to which the usual convergence tests do not ...

William Ross does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their ...

We prove that a series derived using Euler's transformation provides the analytic continuation of ζ(s) for all complex s ≠ 1. At negative integers the series becomes a finite sum whose value is given ...

A mathematician at Purdue University claims to have come up with a proof for the Riemann hypothesis, often called the greatest unsolved math problem, though the work has yet to be peer-reviewed. Louis ...