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Prof. Seshu Aiyar also communicated the earliest
contributions of Ramanujan to the Journal of the Indian Mathematical
Society (I.M.S.) in the form of questions. These appeared in 1911
and in his brief and illustrious career Ramanujan proposed in all
59 questions or solutions to questions in this journal. The first
fifteen page article entitled: Some properties of Bernoulli numbers7 appeared in the same 1911 volume
of the journal of the I.M.S. In it Ramanujan stated eight theorems
embodying arithmetical properties of the Bernoulli numbers, indicating
proofs for three of them; two theorems are stated as corollaries of
two others, while three theorems are stated as mere conjectures. Prof. P.V. Seshu
Iyer states ([I], p. 125): Ramanujan's methods were
so terse and novel and his presentation was so lacking in clearness
and precision, that the ordinary reader, unaccustomed to such intellectual
gymnastics, could hardly follow him.
Mr. M.T. Narayanaiengar, one of the early
editors of the Journal of the Indian Mathematical Society states that
this first article of Ramanujan: Ramanujan lived in a small house called `Summer
House' in Sami Pillai Street, Triplicane, Madras, accepting reluctantly
a monthly financial assistance from the collector of Nellore for about
a year. Later he declined this help and from Jan. 12 to Feb. 21, 1912,
he worked as a clerk in the Accountant General's Office. Not satisfied
with this job, Ramanujan applied for and secured a post in the Accounts
Section (Class III, Grade IV) in the Madras Port Trust, with the help
of Mr. S. Narayana Iyer, the Manager of Port Trust, who
was the treasurer of the IMS and a friend of Profs. V. Ramaswamy
Aiyar and P.V. Seshu Aiyar. Mr. Narayana Aiyer was a good mathematician
and was a great source of support to Ramanujan. He was not only instrumental
in Ramanujan being offered a job in the Madras Port Trust, but also
in securing for Ramanujan the life-long support of Sir Francis Spring
to Ramanujan's career. Narayana Aiyer's son N. Subbanarayanan relates
the role his father played in the career of Ramanujan [I, p. 112]:
To illustrate the depth
of his genius, I can quote one of the incidents which happened during
the stay of Sri Ramanujan with my father when we were living in No.
580, Pycrofts Road, Triplicane. Duriag that period, every night both
Ramanujan and my father used to work Mathematics in two big sized
slates sitting on a small parapet upstairs. This used to be carried
on till about 11.30 p.m. and was a source of nuisance to other inmates
of the house who used to sleep in the adjoining rooms. I distinctly
remember the noises of the slate pencils which used to be a background
music for my sleep. Several nights I have seen Sri Ramanujan get up
at 2 o'clock in the night and note down something in the slate in
the dull light of a hurricane lamp. When my father asked him what
he was writing, he used to say that he worked out mathematics in his
dreams and now he was jotting the results in the slate to remember
them. Evidently, this goes to show that he must have had a remarkable
power of subconscious working and grasp of intellectual strides in
mathematics. Peculiarly enough, my father used to ask Ramanujan some
doubts in these jottings. Between one step and another step there
used to be a big gap. My father, being a fairly good mathematician
himself, was unable to capture the strides of Ramanujan's discoveries.
He used to tell him, ``When I am not able to understand your steps,
I do not know how other mathematicians of a critical nature will accept
your genius. You must descend to my level and write at least ten steps
between the two steps of yours." Sri Ramanujan used to say, ``When
it is so simple and clear to me, why should I write more steps?" But
somehow my father slowly got him round, cajoled him and made him write
some more, though it used to be a mighty task of boredom to him. |