1913 Correspondence

Ramanujan's 1913 Letter to G. H. Hardy

A letter from Madras that opened the path to Cambridge.

From Madras, Ramanujan contacted Hardy with a selection of striking results from his notebooks after earlier attempts to find support had brought limited success.

Ramanujan letter to Hardy

Circumstances in Madras

Ramanujan was working in Madras and seeking recognition for mathematical results he had developed largely outside formal academic structures.

Why Hardy

Hardy was a leading Cambridge mathematician in analytic number theory, making him a plausible recipient for results that had not found a home elsewhere.

Results Enclosed

The letter contained formulas and assertions from Ramanujan's notebooks. This page summarizes the context rather than fabricating a full transcription.

Hardy's Reaction

Hardy recognized mathematical originality in the letter and helped make possible Ramanujan's move to Cambridge.

Collaboration

The correspondence led to collaboration on partitions, asymptotic formulas, number theory and related fields.

Source Note

Historical correspondence between S. Ramanujan and G. H. Hardy, 1913.