algebraic number theory
Word Rarity
Rare
Frequency: 3.18 in modern English
36
Scrabble Score
21
Letters
6
Syllables
15
Unique Chars
Meaning
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.
Uncountable
Example Sentences
- "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."
- "Elementary arithmetic studies divisibility and factorization of ordinary integers, Algebraic number theory considers the same questions for algebraic numbers, solutions to polynomial equations with integer coefficients. In this setting, (un)fortunately, the uniqueness of prime factorization no longer holds. Remedying and measuring its failure is the starting point of algebraic number theory."
Etymology
Blend of algebraic number + number theory. Possibly (alternatively or also) a calque of German algebraische Zahlentheorie.
Usage
Inflected Forms
AlgNT (alternative)