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At the moment I am reading the book Ramanujan's Papers by B.J. Venkatachala, V. Vinay and C.S. Yogananda; when clarifying some doubt with a professor, he told me that Srinivasa Ramanujan used Galois theory in many places of his work without actually knowing them by any means but he knew the theory just by his intuition.

I was amazed.

I asked the professor what areas in mathematics are known to be known by Srinivasa Ramanujan, like Galois theory. He gave me a broad answer that Srinivasa Ramanujan is a genius in analytic number theory.

I am interested in knowing some theories in mathematics which were used by Srinivasa Ramanujan without him knowing their name (as in Galois theory), but understanding them by intuition, where people later understood that this is the theory Srinivasa Ramanujan used.

I think there will be many such theories in mathematics. Can anybody tell me any of your such observations in his work?

Thanks in advance.

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closed as primarily opinion-based by Grigory M, jgon, Lord Shark the Unknown, ccorn, ancientmathematician Nov 8 '18 at 11:50

Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ To clarify, are you asking how one can tell, looking through his work, that he is indeed implicitly using (for instance) Galois theory? $\endgroup$ – Jack M Nov 26 '13 at 12:02
  • $\begingroup$ my professor told me that, in a proof he had chosen something say a,b,c which will make the proof easy. but the choice of a,b,c is such that, we can guess Srinivasa Ramanujan is aware about the concept of Galois Theory. $\endgroup$ – GA316 Nov 26 '13 at 15:15