Srinivasa Ramanujan (The inventor of the circle method) (22-12-1887 to 26-4-1920)
Srinivasa Ramanujan (The inventor of the circle method) (22-12-1887 to 26-4-1920)
Ramanujan's first letter to Hardy states an asymptotic formula for the coefficient of $x^n$ in the expansion of $(\sum_{m=-\infty}^{\infty}(-1)^mx^{m^2})^{-1}$ which can be regarded as the genesis of the circle method. In this paper, we try to give some indication of the possible intuition of Ramanujan in his discovery of the …