[math-fun] 12 exponentials conjecture

4 Sep 2003

      wrt.

http://mathworld.wolfram.com/SixExponentialsTheorem.html

and

http://mathworld.wolfram.com/FourExponentialsConjecture.html

what is known if x1,x2 are linearly independent complex numbers, as are
y1,y2 and z1,z2.

Then must one of;

e^x1y1, e^x1y2,
e^x2y1, e^x2y2,
e^x1z1, e^x1z2,
e^x2z1, e^x2z2,
e^y1z1, e^y1z2,
e^y2z1, e^y2z2

be transcendental?

Jon Perry
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