";s:4:"text";s:1810:"Much of his work is too difficult to explain to the layperson, but one of his most notable results, … Nearly all his claims have now been proven correct. Srinivasa Ramanujan’s story is one of the great romantic tales of mathematics. It is an account of triumph and tragedy, of a man of genius who prevailed against incredible adversity and whose life was cut short at the height of his powers. Bruinier and Ono (2011) found an algebraic formula for the partition function as a finite sum of algebraic numbers as follows. Define the weight-2 meromorphic modular form by
Ramanujan’s interest in the number of ways one can partition an integer (a whole number) is famous. For instance, the integer 3 can be written as 1+1+1 or 2+1. Many were completely novel; his original and highly unconventional results, such as the Ramanujan prime, the Ramanujan theta function, partition formulae and mock theta functions, have opened entire new areas of work and inspired a vast amount of further research.