Baker's theorem
Lower bound for absolute value of linear combinations of logarithms of algebraic numbers
In transcendental number theory, a mathematical discipline, Baker's theorem gives a lower bound for the absolute value of linear combinations of logarithms of algebraic numbers. Nearly fifteen years earlier, Alexander Gelfond had considered the problem with only integer coefficients to be of "extraordinarily great significance".
Nº Q3527009 ★
Común · Saberes
Baker's theorem
Lower bound for absolute value of linear combinations of logarithms of algebraic numbers
In transcendental number theory, a mathematical discipline, Baker's theorem gives a lower bound for the absolute value of linear combinations of logarithms of algebraic numbers. Nearly fifteen years earlier, Alexander Gelfond had considered the problem with only integer coefficients to be of "extraordinarily great significance".
En Wikipedia
Texto en inglés Aún no hay artículo en tu idioma: extracto en inglés.
In transcendental number theory, a mathematical discipline, Baker's theorem gives a lower bound for the absolute value of linear combinations of logarithms of algebraic numbers. Nearly fifteen years earlier, Alexander Gelfond had considered the problem with only integer coefficients to be of "extraordinarily great significance". The result, proved by Alan Baker (1966, 1967a, 1967b), subsumed many earlier results in transcendental number theory. Baker used this to prove the transcendence of many numbers, to derive effective bounds for the solutions of some Diophantine equations, and to solve the class number problem of finding all imaginary quadratic fields with class number 1.
Texto: Wikipedia en inglés, CC BY-SA 4.0. ·
Cartas cercanas
-
Teorema de Lindemann–Weierstrass
Nº Q1572474 ★
Sin ofertas
-
T
Teorema de Minkowski
Teorema de la geometría de los números
Nº Q1097021 ★
Sin ofertas
-
t
teorema de Lagrange
Theorem in number theory
Nº Q6403282 ★
Sin ofertas
-
T
Teorema de Wolstenholme
Nº Q1724049 ★★★
Sin ofertas
-
T
Teorema de categorías de Baire
Teorema en topología
Nº Q1052678 ★★
Sin ofertas
-
Conjetura abc
Nº Q306393 ★★★★
Sin ofertas