algebraic number theory

== English == === Alternative forms === (abbreviation) AlgNT === Etymology === Blend of algebraic number +‎ number theory. Possibly (alternatively or also) a calque of German algebraische Zahlentheorie. === Noun === algebraic number theory (uncountable) (mathematics, number theory) The branch of number theory in which number-theoretic questions are expressed in terms of properties of algebraic number fields or related objects, and studied using techniques from algebra. ==== Translations ==== === See also === analytic number theory arithmetic geometry diophantine geometry === Further reading === Algebraic number field on Wikipedia.Wikipedia Number theory on Wikipedia.Wikipedia Ring of integers on Wikipedia.Wikipedia Algebraic number theory on Encyclopedia of Mathematics Algebraic Number Theory on Wolfram MathWorld