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.
Generic solutions of equations with iterated exponentials / D'Aquino, P.; Fornasiero, A.; Terzo, G.. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 370:2(2018), pp. 1393-1407. [10.1090/tran/7206]
Generic solutions of equations with iterated exponentials
Terzo G.
2018
Abstract
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.File in questo prodotto:
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