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  2. Glossary of number theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_number_theory

    1. The class number of a number field is the cardinality of the ideal class group of the field. 2. In group theory, the class number is the number of conjugacy classes of a group. 3. Class number is the number of equivalence classes of binary quadratic forms of a given discriminant. 4. The class number problem. conductor

  3. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."

  4. Infinite set - Wikipedia

    en.wikipedia.org/wiki/Infinite_set

    Burton also discusses proofs of infinite sets including ideas such as unions and subsets. [5] In Chapter 12 of The History of Mathematics: An Introduction, Burton emphasizes how mathematicians such as Zermelo, Dedekind, Galileo, Kronecker, Cantor, and Bolzano investigated and influenced infinite set theory. Many of these mathematicians either ...

  5. Greek mathematics - Wikipedia

    en.wikipedia.org/wiki/Greek_mathematics

    Greek mathematicians also contributed to number theory, mathematical astronomy, combinatorics, mathematical physics, and, at times, approached ideas close to the integral calculus. [ 45 ] [ 46 ] Eudoxus of Cnidus developed a theory of proportion that bears resemblance to the modern theory of real numbers using the Dedekind cut , developed by ...

  6. Journal of Number Theory - Wikipedia

    en.wikipedia.org/wiki/Journal_of_Number_Theory

    The David Goss Prize in Number theory, founded by the Journal of Number Theory, is awarded every two years, to mathematicians under the age of 35 for outstanding contributions to number theory. The prize is dedicated to the memory of David Goss who was the former editor in chief of the Journal of Number Theory. The current award is 10,000 USD.

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  8. Category:Number theorists - Wikipedia

    en.wikipedia.org/wiki/Category:Number_theorists

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  9. Beal conjecture - Wikipedia

    en.wikipedia.org/wiki/Beal_conjecture

    The Beal conjecture is the following conjecture in number theory: Unsolved problem in mathematics : If A x + B y = C z {\displaystyle A^{x}+B^{y}=C^{z}} where A , B , C , x , y , z are positive integers and x , y , z are ≥ 3, do A , B , and C have a common prime factor?