algebraic number


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Related to algebraic number: Algebraic number field, Algebraic number theory

algebraic number

n.
A number that is a root of a polynomial equation with rational coefficients.

algebraic number

n
(Mathematics) any number that is a root of a polynomial equation having rational coefficients such as √2 but not π. Compare transcendental number

al′gebra′ic num′ber


n.
1. a root of an algebraic equation with integral coefficients.
[1930–35]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.algebraic number - root of an algebraic equation with rational coefficientsalgebraic number - root of an algebraic equation with rational coefficients
irrational, irrational number - a real number that cannot be expressed as a rational number
Translations
References in periodicals archive ?
Eleven contributions are selected from the eight working groups in the areas of elliptic surfaces and the Mahler measure, analytic number theory, number theory in functions fields and algebraic geometry over finite fields, arithmetic algebraic geometry, K-theory and algebraic number theory, arithmetic geometry, modular forms, and arithmetic intersection theory.
Proved by the work of French mathematician Jean-Pierre Serre (who has made fundamental contributions to algebraic topology, algebraic geometry, and algebraic number theory) and American mathematician John Torrence Tate, Jr.
His mathematical interests are Algebraic Number Theory, Algebraic Geometry and Elliptic Curves and Modular Forms.
It is natural to investigate the possibility that h is an algebraic number.
Let a, b, c > 0 and u be a real algebraic number.

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