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The letter that revealed Ramanujan's genius

Ramanujan was a self-taught Indian mathematician who travelled to England to work with professor G H Hardy after sending him a letter describing some of his remarkable ideas. In this video we take a look at that letter and at Hardy's initial response. Further reading/watching: Making sense of 1+2+3+... = -1/12:    • Ramanujan: Making sense of 1+2+3+... = -1/...   YouTube Ramanujan documentary:    • Ramanujan: Letters   Wolfram blog: https://writings.stephenwolfram.com/2... The distribution of prime numbers:   / the-riemann-hypothesis-explained   A Gentle Introduction to Analytic Continuation:   / a-gentle-introduction-to-analytic-continua...   Images of Ramanujan's letter (on Twitter):   / 1255366474467770369   A recent movie about Ramanujan is 'The man Who Knew Infinity' directed by Matthew Brown 0:00 - Intro 1:03 - Ramanujan's letter 8:56 - Hardy's reply 11:22 - Patron Cat of the Day Hardy's reply letter is taken from 'Ramanujan, letters and commentary' - Bruce C. Burndt & Robert A. Rankin. Ramanujan's original letter is from the Cambridge University Archive. Subscribe to my channel to see more videos like this:    / tibees   Support me with a monthly donation on Patreon and receive a gift from me and access to my podcast:   / tibees   Buy me a coffee (one-off donation): https://ko-fi.com/tibees Website: https://tobyhendy.com/ TikTok:   / tibees   Twitter:   / tobyhendy   End music: Gymnopedie - Satie ✨ Music: Reconcile - Peter Sandberg My fountain pen: https://amzn.to/338otuw