Quoting his Wikipedia page (current revision):
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Nearly all his claims have now been proven correct
Which of his claims have been disproven, can any insight be gained from the mistakes of this genius?
ho.history-overviewramanujan
Quoting his Wikipedia page (current revision):
compiled nearly 3,900 results
Nearly all his claims have now been proven correct
Which of his claims have been disproven, can any insight be gained from the mistakes of this genius?
Best Answer
Hardy wrote some things about this, as I learned when writing this blog post. Here is a mistake which was even featured in the Ramanujan movie: in his letters to Hardy, Ramanujan claimed to have found an exact formula for the prime counting function $\pi(n)$, but (in Hardy's words)
Based on the second sentence in particular it sounds like what happened, although I haven't checked, was that Ramanujan's formula was the explicit formula but missing the contribution from the complex zeroes of the zeta function.