It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A broad new method can help settle this ancient question. Landmark results ...

Anne-Maria Ernvall-Hytönen is the Professor of Mathematics for subject teacher training. Her research focuses on transcendental number theory through ...

Earlier this year, a trio of mathematicians decided to make lemons into lemonade — and ended up making major headway on a problem that mathematicians have been thinking about for centuries.

It’s not often that a mathematics textbook is described as “gorgeous” or “a work of practical art.” But An Illustrated Theory of Numbers by Martin Weissman, associate professor of mathematics at UC ...

Melanie Matchett Wood is a professor of mathematics at Harvard University and a Radcliffe Alumnae Professor at the Radcliffe Institute for Advanced Study. In October, she was awarded the MacArthur ...

Number theory, the study of the properties of positive integers, is perhaps the purest form of mathematics. At first sight, it may seem far too abstract to apply to the natural world. In fact, the ...

In] any piece of beautiful mathematics, you almost always find that there is a physical system which actually mirrors the ...

The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...

Number theory is the branch of mathematics that deals with the properties of whole numbers. Many number theorists are motivated purely by mathematical intrigue, and historically number theory had few ...