Irrational numbers such as pi or the square root of 2 have always fascinated humankind. For thousands of years, scholars have ...

The proof resolves a nearly 80-year-old problem known as the Duffin-Schaeffer conjecture. In doing so, it provides a final answer to a question that has preoccupied mathematicians since ancient times: ...

The ancient Greeks wondered when irrational numbers, like pi, can be represented with fractions. Two mathematicians now have a complete answer. The decimal expansion of pi goes on forever. But an ...