We generalize the classical Wolff-Denjoy theorem to certain infinitely connected Riemann surfaces. Let X be a non-parabolic Riemann surface with Martin boundary Δ. Suppose each Martin function ky, y ∈ ...

This is a preview. Log in through your library . Abstract We prove results generalizing the classical Riemann Singularity Theorem to the case of integral, singular curves. The main result is a ...

Prime numbers are maddeningly capricious. They clump together like buddies on some regions of the number line, but in other areas, nary a prime can be found. So number theorists can’t even roughly ...

Over the past few days, the mathematics world has been abuzz over the news that Sir Michael Atiyah, the famous Fields Medalist and Abel Prize winner, claims to have solved the Riemann hypothesis. If ...

WHEN Andrew Wiles, a British mathematician working at Princeton University, announced a decade ago that he had solved Fermat's last theorem, his discovery was reported on front pages around the world.

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 ...

Over the past few days, the mathematics world has been abuzz that Sir Michael Atiyah, the famous Fields Medalist and Abel Prize winner, may have solved the Riemann hypothesis. If his proof turns out ...