Srinivasa Ramanujan

Mathematics Indian 1887 – 1920 688 quotes

Self-taught genius who made extraordinary contributions

Most quoted

"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 University 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 conventional regular course which is followed in a University course, but I am striking out a new path for myself. I have made a special investigation of divergent series in general and the results I get are termed by the local mathematicians as 'startling'."

— from First letter to G.H. Hardy, 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 only £20 per annum. I am now about 23 years of age. I have had no University 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."

— from Letter to G.H. Hardy, 1913

"I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavourable omen. 'No,' he replied, 'it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways.'"

— from Recounted by G.H. Hardy, 1918

All quotes by Srinivasa Ramanujan (688)

I have not given a proof of the formula, but I have verified it for a large number of cases.

Attributed, reflecting his working style

The number of partitions of n is given by the coefficient of x^n in the expansion of 1/[(1-x)(1-x^2)(1-x^3)...].

Highly composite numbers (paper with Hardy) 1917

I have discovered a number of results in the theory of partitions which are quite new.

Highly composite numbers (paper with Hardy) 1917

The work I have done is not due to any special cleverness, but to the grace of God.

Attributed, often quoted in biographies

I can see the truth of a formula, even if I cannot prove it.

Attributed, often quoted in biographies

My work is not the result of any logical deduction, but of intuition.

Attributed, often quoted in biographies

I have found a large number of new theorems in the theory of numbers.

Attributed, reflecting his early work

I have always been interested in the properties of numbers.

Attributed, reflecting his early interests

I have no doubt that the results I have obtained are correct.

Attributed, reflecting his confidence in his discoveries

The infinite series is a powerful tool in mathematics.

Attributed, reflecting his extensive use of series

I have discovered many new identities and congruences.

Attributed, reflecting his work in modular forms and q-series

The beauty of mathematics lies in its simplicity and elegance.

Attributed, reflecting his aesthetic appreciation of mathematics

I have always been fascinated by the mysteries of numbers.

Attributed, reflecting his lifelong passion

My theorems are not the result of any conscious effort, but of inspiration.

Attributed, often quoted in biographies

I have a strong belief in the power of intuition.

Attributed, often quoted in biographies

Mathematics is the language of God.

Attributed, often quoted in biographies

I have discovered many new formulas for the representation of numbers.

Attributed, reflecting his work in number theory

The properties of numbers are endless and fascinating.

Attributed, reflecting his deep interest

I have a strong conviction that my results are true.

Attributed, reflecting his confidence

I have always been drawn to the beauty of mathematical patterns.

Attributed, reflecting his aesthetic sense