Generic solutions of equations with iterated exponentials
We study solutions of exponential polynomials over the complex field. Assuming Schanuel’s Conjecture we prove that certain polynomials of the form p(z, ez, eez, eeez) = 0 have generic solutions in C.
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We study solutions of exponential polynomials over the complex field. Assuming Schanuel’s Conjecture we prove that certain polynomials of the form p(z, ez, eez, eeez) = 0 have generic solutions in C.
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