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  2. List of number theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_number_theory_topics

    Download as PDF; Printable version; In other projects ... Square-free. Square-free integer ... Computational number theory is also known as algorithmic number theory ...

  3. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    An example of an active area of research in algebraic number theory is Iwasawa theory. The Langlands program , one of the main current large-scale research plans in mathematics, is sometimes described as an attempt to generalise class field theory to non-abelian extensions of number fields.

  4. abc conjecture - Wikipedia

    en.wikipedia.org/wiki/Abc_conjecture

    The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory that arose out of a discussion of Joseph Oesterlé and David Masser in 1985. [ 1 ] [ 2 ] It is stated in terms of three positive integers a , b {\displaystyle a,b} and c {\displaystyle c} (hence the name) that are relatively prime and satisfy a ...

  5. List of algebraic number theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_algebraic_number...

    This is a list of algebraic number theory topics. Basic topics. These topics are basic to the field, either as prototypical examples, or as basic objects of study ...

  6. Gauss's lemma (number theory) - Wikipedia

    en.wikipedia.org/wiki/Gauss's_lemma_(number_theory)

    1.1 Example. 2 Proof. 3 Generalization. 4 Applications. ... Download as PDF; Printable version; ... Gauss's lemma in number theory gives a condition for an integer to ...

  7. Category:Number theory - Wikipedia

    en.wikipedia.org/wiki/Category:Number_theory

    Traditionally, number theory is the branch of mathematics concerned with the properties of integers and many of its open problems are easily understood even by non-mathematicians. More generally, the field has come to be concerned with a wider class of problems that arise naturally from the study of integers.

  8. List of inequalities - Wikipedia

    en.wikipedia.org/wiki/List_of_inequalities

    1.7 Number theory. 1.8 Probability theory and statistics. 1.9 Topology. ... Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to ...

  9. List of recreational number theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_recreational...

    This is a list of recreational number theory topics (see number theory, recreational mathematics). Listing here is not pejorative : many famous topics in number theory have origins in challenging problems posed purely for their own sake.