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: https://youtu.be/jcKRGpMiVTw
YouTube Ramanujan documentary: https://youtu.be/YSOYdsaTYBU
Wolfram blog: https://writings.stephenwolfram.com/2016/04/who-was-ramanujan/
The distribution of prime numbers: https://medium.com/cantors-paradise/the-riemann-hypothesis-explained-fa01c1f75d3f
A Gentle Introduction to Analytic Continuation: https://medium.com/cantors-paradise/a-gentle-introduction-to-analytic-continuation-c1ab92fb2ba1
Images of Ramanujan's letter (on Twitter): https://twitter.com/SrinivasR1729/status/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.
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