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algebraic number theory

noun

Etymology

Blend of algebraic number + number theory. Possibly (alternatively or also) a calque of German algebraische Zahlentheorie.

  1. derived from algebraische Zahlentheorie

Definitions

  1. The branch of number theory in which number-theoretic questions are expressed in terms of…

    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.

    • As is well-known in algebraic number theory, there is a far-reaching analogy between number fields and algebraic function fields in one variable with finite constant field.
    • The field of mathematics that these generalize to is known as algebraic number theory. As a matter of historical fact, our development here parallels the development of algebraic number theory.

The neighborhood

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No curated loop yet for algebraic number theory. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA