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• Quadratic_integer abstract "In number theory, quadratic integers are a generalization of the integers to quadratic fields. Quadratic integers are the solutions of equations of the form x2 + Bx + C = 0with B and C integers. They are thus algebraic integers of the degree two. When algebraic integers are considered, usual integers are often called rational integers.Common examples of quadratic integers are the square roots of integers, such as √2, and the complex number i = √–1, which generates the Gaussian integers. Another common example is the non-real cubic root of unity -1 + √–3/2, which generates the Eisenstein integers.Quadratic integers occur in the solutions of many Diophantine equations, such as Pell's equations. The study of rings of quadratic integers is basic for many questions of algebraic number theory.".
• Quadratic_integer wikiPageExternalLink ?PPN=PPN30976923X&DMDID=dmdlog1.
• Quadratic_integer wikiPageExternalLink ANT301.pdf.
• Quadratic_integer wikiPageID "21834785".
• Quadratic_integer wikiPageLength "17383".
• Quadratic_integer wikiPageOutDegree "89".
• Quadratic_integer wikiPageRevisionID "706833789".
• Quadratic_integer wikiPageWikiLink Absolute_value.
• Quadratic_integer wikiPageWikiLink Addition.
• Quadratic_integer wikiPageWikiLink Algebraic_integer.
• Quadratic_integer wikiPageWikiLink Algebraic_number_field.
• Quadratic_integer wikiPageWikiLink Algebraic_number_theory.
• Quadratic_integer wikiPageWikiLink Automorphism.
• Quadratic_integer wikiPageWikiLink Brahmagupta.
• Quadratic_integer wikiPageWikiLink Carl_Friedrich_Gauss.
• Quadratic_integer wikiPageWikiLink Category:Algebraic_number_theory.
• Quadratic_integer wikiPageWikiLink Category:Ring_theory.
• Quadratic_integer wikiPageWikiLink Class_number_problem.
• Quadratic_integer wikiPageWikiLink Completely_multiplicative_function.
• Quadratic_integer wikiPageWikiLink Complex_number.
• Quadratic_integer wikiPageWikiLink Cyclotomic_field.
• Quadratic_integer wikiPageWikiLink Dedekind_domain.
• Quadratic_integer wikiPageWikiLink Diophantine_equation.
• Quadratic_integer wikiPageWikiLink Eisenstein_integer.
• Quadratic_integer wikiPageWikiLink Euclidean_domain.
• Quadratic_integer wikiPageWikiLink Fundamental_theorem_of_arithmetic.
• Quadratic_integer wikiPageWikiLink Fundamental_unit_(number_theory).
• Quadratic_integer wikiPageWikiLink Gaussian_integer.
• Quadratic_integer wikiPageWikiLink Generalized_Riemann_hypothesis.
• Quadratic_integer wikiPageWikiLink Golden_ratio.
• Quadratic_integer wikiPageWikiLink Half-integer.
• Quadratic_integer wikiPageWikiLink Harold_Stark.
• Quadratic_integer wikiPageWikiLink Ideal_(ring_theory).
• Quadratic_integer wikiPageWikiLink Ideal_class_group.
• Quadratic_integer wikiPageWikiLink Imaginary_number.
• Quadratic_integer wikiPageWikiLink Indian_mathematics.
• Quadratic_integer wikiPageWikiLink Integer.
• Quadratic_integer wikiPageWikiLink Integral_domain.
• Quadratic_integer wikiPageWikiLink Integral_element.
• Quadratic_integer wikiPageWikiLink Irrational_number.
• Quadratic_integer wikiPageWikiLink Irreducible_element.
• Quadratic_integer wikiPageWikiLink Kurt_Heegner.
• Quadratic_integer wikiPageWikiLink Minimal_polynomial_(field_theory).
• Quadratic_integer wikiPageWikiLink Multiplicative_inverse.
• Quadratic_integer wikiPageWikiLink Number_theory.
• Quadratic_integer wikiPageWikiLink Pells_equation.
• Quadratic_integer wikiPageWikiLink Penrose_tiling.
• Quadratic_integer wikiPageWikiLink Peter_Gustav_Lejeune_Dirichlet.
• Quadratic_integer wikiPageWikiLink Pierre_de_Fermat.
• Quadratic_integer wikiPageWikiLink Principal_ideal.
• Quadratic_integer wikiPageWikiLink Principal_ideal_domain.
• Quadratic_integer wikiPageWikiLink Principal_ideal_ring.
• Quadratic_integer wikiPageWikiLink Quadratic_field.
• Quadratic_integer wikiPageWikiLink Real_number.
• Quadratic_integer wikiPageWikiLink Richard_Dedekind.
• Quadratic_integer wikiPageWikiLink Ring_(mathematics).
• Quadratic_integer wikiPageWikiLink Ring_of_integers.
• Quadratic_integer wikiPageWikiLink Root_of_unity.
• Quadratic_integer wikiPageWikiLink Rotational_symmetry.
• Quadratic_integer wikiPageWikiLink Square-free_integer.
• Quadratic_integer wikiPageWikiLink Stark–Heegner_theorem.
• Quadratic_integer wikiPageWikiLink Unique_factorization_domain.
• Quadratic_integer wikiPageWikiLink Unit_(ring_theory).
• Quadratic_integer wikiPageWikiLink File:EisensteinPrimes-01.svg.
• Quadratic_integer wikiPageWikiLink File:Golden_spiral_in_rectangles.svg.
• Quadratic_integer wikiPageWikiLink File:Punktraster.svg.
• Quadratic_integer wikiPageWikiLinkText "Quadratic integer".
• Quadratic_integer wikiPageWikiLinkText "algebraic integers".
• Quadratic_integer wikiPageWikiLinkText "quadratic integer".
• Quadratic_integer wikiPageWikiLinkText "quadratic integer#Quadratic integer rings".
• Quadratic_integer wikiPageWikiLinkText "quadratic integer|'''Z''' [{{sfrac|1 + |2}}]".
• Quadratic_integer date "March 2015".
• Quadratic_integer reason "which characterization?".
• Quadratic_integer wikiPageUsesTemplate Template:Bourbaki_EHM.
• Quadratic_integer wikiPageUsesTemplate Template:Citation.
• Quadratic_integer wikiPageUsesTemplate Template:Citation_needed.
• Quadratic_integer wikiPageUsesTemplate Template:Clarify.
• Quadratic_integer wikiPageUsesTemplate Template:Cn.
• Quadratic_integer wikiPageUsesTemplate Template:Expand_section.
• Quadratic_integer wikiPageUsesTemplate Template:Math.
• Quadratic_integer wikiPageUsesTemplate Template:Mvar.
• Quadratic_integer wikiPageUsesTemplate Template:OEIS.
• Quadratic_integer wikiPageUsesTemplate Template:Reflist.
• Quadratic_integer wikiPageUsesTemplate Template:See_also.
• Quadratic_integer wikiPageUsesTemplate Template:Sfrac.
• Quadratic_integer wikiPageUsesTemplate Template:Sqrt.
• Quadratic_integer wikiPageUsesTemplate Template:Which.
• Quadratic_integer subject Category:Algebraic_number_theory.
• Quadratic_integer subject Category:Ring_theory.
• Quadratic_integer hypernym Generalization.
• Quadratic_integer type Thing.
• Quadratic_integer comment "In number theory, quadratic integers are a generalization of the integers to quadratic fields. Quadratic integers are the solutions of equations of the form x2 + Bx + C = 0with B and C integers. They are thus algebraic integers of the degree two. When algebraic integers are considered, usual integers are often called rational integers.Common examples of quadratic integers are the square roots of integers, such as √2, and the complex number i = √–1, which generates the Gaussian integers.".
• Quadratic_integer label "Quadratic integer".
• Quadratic_integer seeAlso Euclidean_domain.
• Quadratic_integer sameAs Q803531.
• Quadratic_integer sameAs Entero_cuadrático.
• Quadratic_integer sameAs Entier_quadratique.
• Quadratic_integer sameAs 이차_정수.
• Quadratic_integer sameAs Kwadratisch_geheel_getal.
• Quadratic_integer sameAs m.05p3q_v.

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