This was proved by his Ph.D. student Karl Mahlburg in his 2005 paper Partition Congruences and the Andrews–Garvan–Dyson Crank, linked below.
Ramanujan | SASTRA Ramanujan Prize | Ramanujan tau function | Ramanujan Prize | Ramanujan–Nagell equation | ICTP Ramanujan Prize |
Lubotzky, Phillips, and Sarnak (1988), Margulis (1988), and Morgenstern (1994) show how Ramanujan graphs can be constructed explicitly.
He first proposed in a letter to G. H. Hardy dated 28 July 1920 to pay Ramanujan's wife a monthly annuity of 20 rupees per month for handing over her husband's documents.
From December 15, 2005 to December 16, 2005, the sessions were named after famous mathematicians such as Andrey Markov, G H Hardy and Ramanujan.
Ramanujan tau function, giving the Fourier coefficients of the Ramanujan modular form.
Ljunggren also posed the question of finding the integer solutions to the Ramanujan–Nagell equation