algebraic number


Also found in: Thesaurus, Medical, Legal, Encyclopedia, Wikipedia.
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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

al′gebra′ic num′ber


n.
1. a root of an algebraic equation with integral coefficients.
2. root 1 (def. 9b).
[1930–35]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
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
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
Mentioned in ?
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.
Introductory Algebraic Number Theory
Algebraic Number Theory and Fermat's Last Theorem, 4th Edition
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.
Abstract Analytic Number Theory (reprint, 1990)
The emphasis is here towards algebraic number theory rather than the more customary direction towards Galois theory.
Learning Modern Algebra: From Early Attempts to Prove Fermat's Last Theorem
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.
Arithmetic Geometry: Computation and Applications
The Institute for Advanced Study said he works"at the intersection of analytic number theory, algebraic number theory, and representation theory."
Indian-origin academic wins maths 'Nobel'
Dubickas, On the degree of a linear form in conjugates of an algebraic number, Illinois J.
Rational quotients of two linear forms in roots of a polynomial
Neukirch Algebraic Number Theory Springer- Verlag Inc.
OPTIMAL APPROXIMATION IN HENSELIAN FIELDS
Akiyama, Cubic Pisot units with finite beta expansions, Algebraic Number Theory and Diophantine Analysis, (2000), pp.
Arithmetics on beta-expansions with Pisot bases over [F.sub.q] (([x.sup.-1]))
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.
Women in Numbers 2: Research Directions in Number Theory; proceedings
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.
Generalized Serre-Tate Ordinary Theory
In this paper, we use algebraic number theory and Skolem's p-adic method [4] to solve (1), and the method is relatively simple.
On the system of diophantine equations [x.sup.2] - 6[y.sup.2] = -5 and x = a[z.sup.2] - b

Dictionary browser ?
Full browser ?