https://en.wikipedia.org/wiki/Diophantine_approximation Diophantine approximation Approximation of algebraic numbers, Thue–Siegel–Roth theorem The main improvements are due to Axel Thue (1909), Siegel (1921), Freeman Dyson (1947), and Klaus Roth (1955), leading finally to the Thue–Siegel–Roth theorem: If x is an irrational algebraic number and ε > 0, then there exists a positive real number c(x, ε) such that 略す (こんなところに Freeman Dyson (1947)が・・)