transcendental number

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transcendental number

n
(Mathematics) maths a number or quantity that is real but nonalgebraic, that is, one that is not a root of any polynomial with rational coefficients such as π or e
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.transcendental number - an irrational number that is not algebraic
irrational, irrational number - a real number that cannot be expressed as a rational number
pi - the ratio of the circumference to the diameter of a circle; approximately equal to 3.14159265358979323846...
e - the base of the natural system of logarithms; approximately equal to 2.718282...
Translations
References in periodicals archive ?
Transcendental numbers cannot be represented as roots of algebraic equations.
Among the topics are quadratic points of classical modular curves, p-adic point counting on singular super-elliptic curves, a vanishing criterion for Dirichlet series with periodic coefficients, the Sato-Tate conjecture for a Picard curve with a complex multiplication, arithmetic twists with abelian extensions, and transcendental numbers with special values of Dirichlet series.

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