**Papers Published**

- Dasgupta, S; Voight, J,
*Sylvester’s problem and mock heegner points*, Proceedings of the American Mathematical Society, vol. 146 no. 8 (January, 2018), pp. 3257-3273, American Mathematical Society (AMS)

(last updated on 2022/01/26)**Abstract:**

We prove that if p ≡ 4, 7 (mod 9) is prime and 3 is not a cube modulo p, then both of the equations x3 + y3 = p and x3 + y3 = p2 have a solution with x, y ∈ ℚ.