I.The Montgomery-Odlyzko Law tells us that the non-trivial zeros of the Riemann zeta function look like—statistically, that is—the eigenvalues of some random Hermitian matrix. The operators ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

This voice experience is generated by AI. Learn more. This voice experience is generated by AI. Learn more. Brilliant Young Mathematician Is Writing on Big Blackboard and Thinking about Solving Long ...

The universality phenomenon reveals that certain complex functions arising in number theory—most notably the Riemann zeta‐function and a broad class of L‐functions—are astonishingly rich in analytic ...

Tom Apostol, Professor of Mathematics Emeritus at Caltech, wrote the following tribute to the Riemann Hypothesis (RH) in 1955 and performed it at the Caltech Number Theory conference held in June of ...