Category
page 1Transcendental numbers
transcendental number
number that cannot be found as a result of an algebraic equation with integer coefficients
Lindemann–Weierstrass theorem
theorem of number theory
Gelfond–Schneider theorem
theorem which establishes the transcendence of a large class of numbers
transcendental number theory
study of numbers that are not solutions of polynomials with integer coefficients
period
numbers expressible as integrals of algebraic functions
Baker's theorem
lower bound for absolute value of linear combinations of logarithms of algebraic numbers
transcendental extension
field extension that contains an element algebraically independent from the base field
Schanuel's conjecture
conjecture concerning the transcendence degree of field extensions of the rational numbers
irrationality measure