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quadratic character

См. также в других словарях:

  • 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

  • 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

  • List of character tables for chemically important 3D point groups — This lists the character tables for the more common molecular point groups used in the study of molecular symmetry. These tables are based on the group theoretical treatment of the symmetry operations present in common molecules, and are useful… …   Wikipedia

  • Generic character — may refer to:* Generic character (fiction) * Generic character (mathematics), a character on a class group of binary quadratic forms …   Wikipedia

  • Legendre symbol — The Legendre symbol or quadratic character is a function introduced by Adrien Marie Legendre in 1798 [A. M. Legendre Essai sur la theorie des nombres Paris 1798, p 186] during his partly successful attempt to prove the law of quadratic… …   Wikipedia

  • Arithmetic function — In number theory, an arithmetic (or arithmetical) function is a real or complex valued function ƒ(n) defined on the set of natural numbers (i.e. positive integers) that expresses some arithmetical property of n. [1] An example of an arithmetic… …   Wikipedia

  • Paley construction — In mathematics, the Paley construction is a method for constructing Hadamard matrices using finite fields. The construction was described in 1933 by the English mathematician Raymond Paley.The Paley construction uses quadratic residues in a… …   Wikipedia

  • Riemann hypothesis — The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011 …   Wikipedia

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

  • Smith–Minkowski–Siegel mass formula — In mathematics, the Smith–Minkowski–Siegel mass formula (or Minkowski–Siegel mass formula) is a formula for the sum of the weights of the lattices (quadratic forms) in a genus, weighted by the reciprocals of the orders of their automorphism… …   Wikipedia

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