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Re: Typo in Ramanujan's letter to Hardy

Subject: Re: Typo in Ramanujan's letter to Hardy
From: "G. A. Edgar"
Date: Sat, 30 Sep 2006 09:18:28 -0400
Newsgroups: sci.math
In article <1159617129.457796.32290@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
<titus_piezas@xxxxxxxxx> wrote:

> Hello all,
> 
> Most of us here have heard of Ramanujan's letter to Hardy.  This is
> from www.maths.abdn.ac.uk/courses/mx4531/chap_gamma/pdf/ram.pdf  :
> 
> "S. Ramanujan to G.H.Hardy
> 16 Jan 1913
> Madras
> 
> Dear Sir,
> 
> I beg to introduce myself to you as a clerk in the Accounts Department
> of the Port Trust Office at Madras on a salary of only 20 pounds per
> annum.  I am now about 23 years of age.  I have had no University
> education..."
> 
> An identical letter is also given here,
> http://www.parabaas.com/SHEET2/LEKHA10/bCarr_eng.html a nice article by
> the mathematical physicist Amitabha Sen.
> 
> But since Ramanujan had the lifespan (1887-1920), died 32 (he would
> have turned 33 on Dec) then 1913-1887 = 26, so he was 26 when he sent
> the letter.  (When I realized this I had to check my calculator twice.)
> For somebody who instantly recognized/remembered that 1729 = 1^3+12^3 =
> 9^3+10^3, I don't think he would make an arithmetical mistake on his
> age!  So the only conclusion is that this is a typo. Even Wikipedia
> picked up this mistake and in fact that was where I first noticed it.
> 
> So where did this typo start? Is it in the book "Ramanujan: Letters and
> Commentary" or is the correct age given there? (If you have JSTOR
> access it should be there.)
> 
> -Titus
> 

Interesting.  As we know, Ramanujan had written to many others before
Hardy.  Maybe he had been writing to various mathematicians for about 2
years by then, and just copied the same letter for them all.  Then he
would, indeed, have been 23 when he started.

Also: December 1887 to January 1913 is 25 years and 1 month, not 26
years.

-- 
G. A. Edgar                                                              www.math.ohio-state.edu/~edgar/">http://www.math.ohio-state.edu/~edgar/

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