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Questions tagged [ramanujan]

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2 votes
1 answer
223 views

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}^{\...
Galen's user avatar
  • 309
4 votes
1 answer
267 views

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 ...
Brian Hopkins's user avatar
17 votes
1 answer
1k views

Does Arnold say that Hardy is responsible for Ramanujan's untimely death?

In Yesterday and Long Ago (2007), mathematician Vladimir Arnold wrote: When I resided at Cambridge as a senior fellow of Trinity College,Indian colleagues told me some details of Ramanujan's ...
Tyrell's user avatar
  • 273
6 votes
0 answers
181 views

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 ...
D.Matthew's user avatar
  • 161
8 votes
2 answers
1k 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 ...
Consider Non-Trivial Cases's user avatar
20 votes
2 answers
22k 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 ...
Soham's user avatar
  • 911