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  2. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." [ 1 ] Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example, rational numbers ), or defined as generalizations of the ...

  3. List of number theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_number_theory_topics

    Bernoulli number. Agoh–Giuga conjecture; Von Staudt–Clausen theorem; Dirichlet series; Euler product; Prime number theorem. Prime-counting function. Meissel–Lehmer algorithm; Offset logarithmic integral; Legendre's constant; Skewes' number; Bertrand's postulate. Proof of Bertrand's postulate; Proof that the sum of the reciprocals of the ...

  4. List of mathematical theories - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_theories

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Help; Learn to edit; Community portal; Recent changes; Upload file

  5. 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

  6. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Fermat's theorem on sums of two squares (number theory) Fermat's theorem (stationary points) (real analysis) Fermat polygonal number theorem (number theory) Fernique's theorem (measure theory) Ferrero–Washington theorem (algebraic number theory) Feuerbach's theorem ; Fieller's theorem ; Final value theorem (mathematical analysis)

  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 scientific laws named after people - Wikipedia

    en.wikipedia.org/wiki/List_of_scientific_laws...

    Mathematics: Paul Erdős and George Szekeres: Erdős–Szemerédi theorem: Mathematics: Paul Erdős and Endre Szemerédi: Euclid's theorem: Number theory: Euclid: Euler's theorem See also: List of things named after Leonhard Euler: Number theory: Leonhard Euler: Faraday's law of induction Faraday's law of electrolysis: Electromagnetism ...

  9. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics).