A pair of mathematicians has solved a problem that had tantalized number-theory researchers for more than 8 decades. It is the so-called final problem of the legendary Indian mathematical genius ...

We define theta functions attached to indefinite quadratic forms over real number fields and prove that these theta functions are Hilbert modular forms by regarding them as specializations of ...

While on his death bed, the brilliant Indian mathematician Srinivasa Ramanujan cryptically wrote down functions he said came to him in dreams, with a hunch about how they behaved. Now 100 years later, ...

This is a preview. Log in through your library . Abstract Mess showed that the genus 2 Torelli group 𝑇₂ is isomorphic to a free group of countably infinite rank by showing that the genus 2 Torelli ...

Discover how the Humm brain stimulation device uses theta waves to enhance memory and cognitive function through transcranial stimulation. This week I came across a brain stimulation device called ...

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 ...

Imagine you are a security guard in one of those casino heist movies where your ability to recognize an emerging crime will ...