 The strong six exponentials theorem is a result proved by Damien Roy that implies the sharp six exponentials theorem.This result concerns the vector space over the algebraic numbers generated by 1 and all logarithms of algebraic numbers, denoted here as "L"∗.So "L"∗ is the set of all complex numbers of the form
for some "n" ≥ 0, where all the β"i" and α"i" are algebraic and every branch of the logarithm is considered.