**List of algebraic number theory topics** — This is a list of algebraic number theory topics. Contents 1 Basic topics 2 Important problems 3 General aspects 4 Class field theory … Wikipedia

**Biquadratic** — Bi quad*rat ic, a. [Pref. bi + quadratic: cf. F. biquadratique.] (Math.) Of or pertaining to the biquadrate, or fourth power. [1913 Webster] {Biquadratic equation} (Alg.), an equation of the fourth degree, or an equation in some term of which the … The Collaborative International Dictionary of English

**Biquadratic equation** — Biquadratic Bi quad*rat ic, a. [Pref. bi + quadratic: cf. F. biquadratique.] (Math.) Of or pertaining to the biquadrate, or fourth power. [1913 Webster] {Biquadratic equation} (Alg.), an equation of the fourth degree, or an equation in some term… … The Collaborative International Dictionary of English

**Biquadratic field** — In mathematics, a biquadratic field is a number field K of a particular kind, which is a Galois extension of the rational number field Q with Galois group the Klein four group. Such fields are all obtained by adjoining two square roots. Therefore … Wikipedia

**Primitive root modulo n** — In modular arithmetic, a branch of number theory, a primitive root modulo n is any number g with the property that any number coprime to n is congruent to a power of g (mod n ). That is, if g is a primitive root (mod n ) and gcd( a , n ) = 1,… … Wikipedia

**Multiplicative group of integers modulo n** — In modular arithmetic the set of congruence classes relatively prime to the modulus n form a group under multiplication called the multiplicative group of integers modulo n. It is also called the group of primitive residue classes modulo n. In… … Wikipedia

**History of group theory** — The history of group theory, a mathematical domain studying groups in their various forms, has evolved in various parallel threads. There are three historical roots of group theory: the theory of algebraic equations, number theory and geometry.… … Wikipedia

**Quadratic residue** — In number theory, an integer q is called a quadratic residue modulo n if it is congruent to a perfect square modulo n; i.e., if there exists an integer x such that: Otherwise, q is called a quadratic nonresidue modulo n. Originally an abstract… … Wikipedia

**Cubic reciprocity** — is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x3 ≡ p (mod q) is solvable; the word reciprocity comes from the form of the main theorem, which states that … Wikipedia

**Swami Bharati Krishna Tirtha's Vedic mathematics** — For the actual mathematics of the Vedic period, see the articles on Sulba Sūtras and Indian mathematics.Swami Bharati Krishna Tirtha s Vedic mathematics is a system of mathematics consisting of a list of 16 basic sūtras, or aphorisms. They were… … Wikipedia