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algebraic number theory

algebraic number theory noun: 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.

Noun

algebraic number theory (uncountable)

  1. 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.1998, Norbert Klingen, Arithmetical Similarities: Prime Decomposition and Finite Group Theory, Oxford University Press (Clarendon Press), page 241
    • 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.2008, Steven H. Weintraub, Factorization: Unique and Otherwise, CRC Press, page 143

algebraic number theory meaning in Tamil

algebraic number theory in Tamil

அறம எண் இயல்

Forms of algebraic number theory

alternative formAlgNT

Origin of algebraic number theory

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

Questions about algebraic number theory

What does algebraic number theory mean?
Algebraic number theory means 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.
What is algebraic number theory in Tamil?
Algebraic number theory in Tamil is அறம எண் இயல். See Algebraic number theory meaning in Tamil.
What part of speech is algebraic number theory?
Algebraic number theory is a noun.

Words near algebraic number theory in the dictionary

  1. algebraic notation
  2. algebraic notations
  3. algebraic number
  4. algebraic number field
  5. algebraic number fields
  6. algebraic number theory
  7. algebraic numbers
  8. algebraic poset
  9. algebraic posets
  10. algebraic statistics
  11. algebraic structure

Source and license

Adapted from Wiktionary: algebraic number theory (page history and authors); algebraic number theory (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “algebraic number theory.” Word.ws, https://word.ws/algebraic_number_theory. Based on Wiktionary, CC BY-SA 4.0.