Questions tagged [ramanujan]

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2 votes
1 answer
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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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4 votes
1 answer
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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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14 votes
1 answer
674 views

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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6 votes
0 answers
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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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8 votes
2 answers
902 views

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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19 votes
2 answers
19k views

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 ...
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