So a formula for calculating partition numbers was needed. Ramanujan’s approximate formula, developed in 1918, helped him spot that numbers ending in 4 or 9 have a partition number divisible by ...

In 1914, Ramanujan discovered a formula for infinite series for pi ... invented the circle method which gave the first approximations of the partition of numbers beyond 200.

His partition function transformed number theory ... with Hardy sparked a revolution in mathematics. The Hardy — Ramanujan formula on the distribution of prime numbers, along with their other ...

Working with Jan Bruinier of the Technical University of Darmstadt in Germany, Ono constructed a formula for computing large partition numbers quickly and exactly—the holy grail Ramanujan never ...

London: Almost a century after his death, Indian maths genius Srinivasa Ramanujan’s cryptic deathbed theory has been proven correct and scientists say it could explain the behaviour of black holes.

The result is a formula for mock modular forms that may prove useful to physicists who study black holes. The work, which Ono recently presented at the Ramanujan 125 conference at the University ...

"We proved that Ramanujan was right. We found the formula explaining one of the visions that he believed came from his goddess," Ono said. Researchers were also stunned to find the function could ...