A resistor dissapates energy as heat, basically the amount of heat generated can be expressed in Watts (W) (standard unit of POWER). Ohm's laws give: Power = Voltage x Current ( P = V I ). Current is goverened by both Voltage (V) and Resistance (R) as V = I R, so combining and expresing power in terms of voltage and resistance: P = V^2 / R.
Thus a 1.7ohm resistance with 3.7V => 8 watts power, to have the equivalent with a 3 ohm resistance would require voltage of:
V = sqrt(P R) = 4.9 V
This is of course all theoretical values, the construction and geometry of the atomizer likely will effect the non-empirical vape nature of the atomizer.