A new study reveals that Srinivasa Ramanujan’s century-old formulas for calculating pi unexpectedly emerge within modern theories of critical phenomena, turbulence, and black holes. In school, many of ...

Most of us first hear about the irrational number π (pi)—rounded off as 3.14, with an infinite number of decimal digits—in ...

This is a preview. Log in through your library . Abstract We show how various modular identities due to Ramanujan may be used to produce simple high order approximations to π. Various specializations ...

Mathematicians have found a framework for the celebrated Rogers-Ramanujan identities and their arithmetic properties, solving another long-standing mystery stemming from the work of Indian math genius ...

The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

Catalan numbers, a distinguished sequence in combinatorial mathematics, consistently emerge in a wide range of counting problems—from enumerating binary trees and Dyck paths to counting possible ...