University investigation conventional approximates
enclosed convinced published indicated
Inexperienced excused
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 per annum. I
am now about 23 years of age. I have had no ………….. education but
I have undergone the ordinary school course. After leaving school I
have been employing the spare time at my disposal to work at
Mathematics. I have not trodden through the ………… regular course,
which is followed in a University course, but I am striking out a new
path for myself. I have made a special …………… of divergent series
in general and the results I get are termed by the local mathematicians
as "startling"
Third Paragraph
Very recently I came across a tract published by you styled Orders of
Infinity in page 36 of which I find a statement that no definite
expression has been as yet found for the number of prime numbers
less than any given number. I have found an expression which very
nearly ………… to the real result, the error being negligible. I would
request you to go through the ……….. papers. Fourth paragraph
Being poor, if you are ………. that there is anything of value I would
like to have my theorems ……….. I have not given the actual
investigations nor the expressions that I get but I have ……….. the
lines on which I proceed. Being …………. I would very highly value
any advice you give me. Requesting to be ………… for the trouble I
give you.
I remain, Dear Sir,
Yours truly,
S. Ramanujan
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