Madras 16th January 1913
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 £ 20 per annum. I am no about 23 years of age. I have had no university education but I have undergone the ordinary school. I have been employing the spare time at my disposal to work at Mathematics. I have not toddle through the conventional regular course, but I am striking out a new path for my self. I have made a special investigation of divergent series in general and the results I get are termed by the local mathematicians as “Startling”
I would request you to go through the enclosed papers. Being poor, if you are convinced that there is anything of value I would like to have my theorems to be published. I have not given te actual investigation nor expressions that I get but I have indicated the lines on which I proceed.
Being inexperienced I would very highly value any advice you give me. Requesting to be excused for the trouble I give you.
I was exceedingly interested by your letter and by theorems…
Your will how ever understand that before I can judge properly the value of what you have done, it is essential that I should see proofs of some of your assertions.
I want particularly to see your proofs of your assertions have. You will understand that, in this theorym everything depends on rigorous exactation of proof..