 And the three exponentials conjecture is neither implied by nor implies the four exponentials conjecture.The three exponentials conjecture, like the sharp five exponentials conjecture, would imply the transcendence of "e"π² by letting (in the logarithmic version) λ1 = "i"π, λ2 = −"i"π, and γ = 1.Many of the theorems and results in transcendental number theory concerning the exponential function have analogues involving the modular function "j".