Usually means: Study of numbers via polynomials.
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We found 5 dictionaries that define the word algebraic number theory:

General (2 matching dictionaries)
  1. algebraic number theory: Wiktionary
  2. Algebraic number theory: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. algebraic number theory: Encyclopedia

Science (2 matching dictionaries)
  1. Algebraic Number Theory: Eric Weisstein's World of Mathematics
  2. algebraic number theory: PlanetMath Encyclopedia

Definitions from Wiktionary (algebraic number theory)

noun:  (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.

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