Analytic number theory continues to serve as a cornerstone of modern mathematics through its probing study of zeta functions and their applications. At the heart of this discipline is the classical ...

The Riemann Hypothesis remains one of mathematics’ most enduring and influential conjectures, proposing that all nontrivial zeros of the Riemann zeta function lie on the critical line where the real ...

The prime counting function π can be written in terms of another step function, J. The function J can be written in terms of Riemann’s zeta function ζ. You take the point. If you’re not a ...

I. We are starting to close in on the Riemann Hypothesis. Let me state it again, just as a refresher. All non-trivial zeros of the zeta function have real part one-half. Well, we’ve got a handle on ...