residue character modulo

См. также в других словарях:

• Character sum — In mathematics, a character sum is a sum of values of a Dirichlet character χ modulo N, taken over a given range of values of n. Such sums are basic in a number of questions, for example in the distribution of quadratic residues, and in… …   Wikipedia

• Dirichlet character — In number theory, Dirichlet characters are certain arithmetic functions which arise from completely multiplicative characters on the units of . Dirichlet characters are used to define Dirichlet L functions, which are meromorphic functions with a… …   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

• Gaussian period — In mathematics, in the area of number theory, a Gaussian period is a certain kind of sum of roots of unity. They permit explicit calculations in cyclotomic fields, in relation both with Galois theory and with harmonic analysis (discrete Fourier… …   Wikipedia

• Gauss's lemma (number theory) — This article is about Gauss s lemma in number theory. Gauss s lemma (polynomial) concerns factoring polynomials. Gauss s lemma in number theory gives a condition for an integer to be a quadratic residue. Although it is not useful computationally …   Wikipedia

• Gauss sum — In mathematics, a Gauss sum or Gaussian sum is a particular kind of finite sum of roots of unity, typically: G ( chi;, psi;) = Sigma; chi;( r ) psi;( r )where the sum is over elements r of some finite commutative ring R , psi;( r ) is a group… …   Wikipedia

• Chowla–Mordell theorem — In mathematics, the Chowla–Mordell theorem is a result in number theory determining cases where a Gauss sum is the square root of a prime number, multiplied by a root of unity. It was proved and published independently by Sarvadaman Chowla and… …   Wikipedia

• Cyclic group — Group theory Group theory …   Wikipedia

• Generalized Riemann hypothesis — The Riemann hypothesis is one of the most important conjectures in mathematics. It is a statement about the zeros of the Riemann zeta function. Various geometrical and arithmetical objects can be described by so called global L functions, which… …   Wikipedia

• Kummer sum — In mathematics, Kummer sum is the name given to certain cubic Gauss sums for a prime modulus p , with p congruent to 1 modulo 3. They are named after Ernst Kummer, who made a conjecture about the statistical properties of their arguments, as… …   Wikipedia