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 ?
Alaca and Williams, both affiliated with the Mathematics Department at Carleton University, Canada, introduce algebraic number theory in this text suitable for senior undergraduates and beginning graduate students in mathematics.
Algebraic Number Theory and Fermat's Last Theorem, 4th Edition
Three years of university mathematics should be enough to understand most of the book, he says, though he sometimes refers to more advanced concepts and theorems such as algebraic number theory or the theory of Lie groups and symmetric Riemannian manifolds.
The emphasis is here towards algebraic number theory rather than the more customary direction towards Galois theory.
Ten talks delivered at the June 2017 conference held in Marseille, France explore algebraic number theory, Diophantine geometry, curves and abelian varieties over finite fields, and applications in codes and cryptography.
The Institute for Advanced Study said he works"at the intersection of analytic number theory, algebraic number theory, and representation theory."
Dubickas, On the degree of a linear form in conjugates of an algebraic number, Illinois J.
Neukirch Algebraic Number Theory Springer- Verlag Inc.
Akiyama, Cubic Pisot units with finite beta expansions, Algebraic Number Theory and Diophantine Analysis, (2000), pp.
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.
In this paper, we use algebraic number theory and Skolem's p-adic method [4] to solve (1), and the method is relatively simple.

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