Schanuel type conjectures and disjointness
Schanuel type conjectures and disjointness
Abstract Given a subfield F of $${\mathbb {C}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>C</mml:mi> </mml:math> , we study the linear disjointess of the field E generated by iterated exponentials of elements of $${\overline{F}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>F</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> , and the field L generated by iterated logarithms, in the presence of …