In transcendental number theory, a mathematical discipline, Baker's theorem gives a lower bound for the absolute value of linear combinations of logarithms...

more general statement in 1885. The theorem, along with the Gelfond–Schneider theorem, is extended by Baker's theorem, and all of these would be further...

} The Gelfond–Schneider theorem answers affirmatively Hilbert's seventh problem. Lindemann–Weierstrass theorem Baker's theorem; an extension of the result...

theorem then follows by setting βij = 0 for every i and j, while the five exponentials theorem follows by setting x3 = γ/x1 and using Baker's theorem...

number of solutions of such equations. Nevertheless, a refinement of Baker's theorem by Feldman provides an effective bound: if x is an algebraic number...

analytic subgroup theorem is a significant result in modern transcendental number theory. It may be seen as a generalisation of Baker's theorem on linear forms...

independent, a strengthening of Baker's theorem. The Gelfond–Schneider theorem follows from this strengthened version of Baker's theorem, as does the currently...

metric spaces) Baker's theorem (number theory) Balian–Low theorem (Fourier analysis) Balinski's theorem (combinatorics) Banach–Alaoglu theorem (functional...

studied by Gelfond and then solved by Alan Baker. It is called the Gelfond conjecture or Baker's theorem. Baker was awarded a Fields Medal in 1970 for this...

Gelfond–Schneider theorem. Alan Baker also used the method in the 1960s for his work on linear forms in logarithms and ultimately Baker's theorem. Another example...