Questions tagged [ramanujan]
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Where did we find Ramanujan's series for the exponential integral?
According to Wikipedia, the following series for the exponential integral
$$\operatorname{Ei}(x) = \gamma \ln x + \exp{\frac{x}{2}} \sum_{n=1}^{\infty} \frac{(-1)^{n-1}x^n}{n! 2^{n-1}} \sum_{k=0}^{\...
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Whose 1930 number theory result is used in characterizing perfect 2-error correcting linear codes?
In Error-Correcting Codes: A Mathematical Introduction (Chapman & Hall, 1998), John Baylis wrote (p.109)
Moving on to 2-error correcting linear codes, the condition for perfection of linear codes ...
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Does Arnold say that Hardy is responsible for Ramanujan's untimely death?
Mathematician Vladimir Arnold in his book Yesterday and Long Ago, Springer (2007) writes:
When I resided at Cambridge as a senior fellow of Trinity College,
Indian colleagues told me some details ...
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Did Hardy and Ramanujan miscalculate these values?
When I read Dickson's History Of The Theory Of Numbers Vol-2, I found that there seems to be a mistake in the approximation of partition numbers p(200). For this reason, I found the original text ...
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What did G.H. Hardy teach Ramanujan?
Ramanujan didn't know modern mathematics. he lacked idea regarding analysis.
I found in Wikipedia-
Hardy tried his best to fill the gaps in Ramanujan's education and to
mentor him in the need for ...
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How did Ramanujan learn to do mathematics?
Did Ramanujan have any formal training in mathematics? I read that he did not. Then how did he learn to do mathematics? Mathematics does not come from instinct. You have to learn the basic facts. How ...