In number theory, Dedekind function can refer to any of three functions, all introduced by Richard Dedekind
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Dedekind psi function — In number theory, the Dedekind psi function is the multiplicative function on the positive integers defined by where the product is taken over all primes p dividing n (by convention, ψ(1) is the empty product and so has value 1). The function was … Wikipedia
Dedekind zeta function — In mathematics, the Dedekind zeta function of an algebraic number field K, generally denoted ζK(s), is a generalization of the Riemann zeta function which is obtained by specializing to the case where K is the rational numbers Q. In particular,… … Wikipedia
Dedekind number — … Wikipedia
Dedekind-infinite set — In mathematics, a set A is Dedekind infinite if some proper subset B of A is equinumerous to A. Explicitly, this means that there is a bijective function from A onto some proper subset B of A. A set is Dedekind finite if it is not Dedekind… … Wikipedia
Dedekind sum — In mathematics, Dedekind sums, named after Richard Dedekind, are certain sums of products of a sawtooth function, and are given by a function D of three integer variables. Dedekind introduced them to express the functional equation of the… … Wikipedia
Dedekind–Hasse norm — In mathematics, in particular the study of abstract algebra, a Dedekind–Hasse norm is a function on an integral domain that generalises the notion of a Euclidean function on Euclidean domains. Contents 1 Definition 2 Integral and principal ideal… … Wikipedia
Dedekind eta function — For the Dirichlet series see Dirichlet eta function. Dedekind η function in the complex plane The Dedekind eta function, named after Richard Dedekind, is a function defined on the upper half plane of complex numbers, where the imaginary part is… … Wikipedia
Dedekind domain — In abstract algebra, a Dedekind domain or Dedekind ring, named after Richard Dedekind, is an integral domain in which every nonzero proper ideal factors into a product of prime ideals. It can be shown that such a factorization is then necessarily … Wikipedia
Richard Dedekind — Infobox Scientist name = PAGENAME box width = image size =180px caption =Richard Dedekind, c. 1850 birth date = October 6, 1831 birth place = Braunschweig death date = February 12, 1916 death place = Braunschweig residence = citizenship =… … Wikipedia
Función zeta de Dedekind — En matemática, la función zeta de Dedekind es una serie de Dirichlet definida para todo cuerpo K de números algebraicos, expresada como ζK(s) donde s es una variable compleja. Es la suma infinita: realizada sobre todos los I ideales del anillo de … Wikipedia Español
