Ad
related to: primitive root theorem meaning in geometry formula sheet pdf for jeekutasoftware.com has been visited by 10K+ users in the past month
Search results
Results from the WOW.Com Content Network
In modular arithmetic, a number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. That is, g is a primitive root modulo n if for every integer a coprime to n, there is some integer k for which g k ≡ a (mod n). Such a value k is called the index or discrete logarithm of a to the base g modulo n.
One can obtain such a root by choosing a () th primitive root of unity (that must exist by definition of λ), named and compute the power () /. If x is a primitive kth root of unity and also a (not necessarily primitive) ℓth root of unity, then k is a divisor of ℓ.
Primitive element (finite field), an element that generates the multiplicative group of a finite field; Primitive element (lattice), an element in a lattice that is not a positive integer multiple of another element in the lattice; Primitive element (coalgebra), an element X on which the comultiplication Δ has the value Δ(X) = X⊗1 + 1⊗X
The Carmichael lambda function of a prime power can be expressed in terms of the Euler totient. Any number that is not 1 or a prime power can be written uniquely as the product of distinct prime powers, in which case λ of the product is the least common multiple of the λ of the prime power factors.
In analytic number theory and related branches of mathematics, a complex-valued arithmetic function: is a Dirichlet character of modulus (where is a positive integer) if for all integers and : [1]
In mathematics, a primitive root may mean: Primitive root modulo n in modular arithmetic Primitive n th root of unity amongst the solutions of z n = 1 in a field
Euler's theorem; Five color theorem; Five lemma; Fundamental theorem of arithmetic; Gauss–Markov theorem (brief pointer to proof) Gödel's incompleteness theorem. Gödel's first incompleteness theorem; Gödel's second incompleteness theorem; Goodstein's theorem; Green's theorem (to do) Green's theorem when D is a simple region; Heine–Borel ...
The torsion subgroup of Z[ζ n] × is the group of roots of unity in Q(ζ n), which was described in the previous item. Cyclotomic units form an explicit finite-index subgroup of Z[ζ n] ×. The Kronecker–Weber theorem states that every finite abelian extension of Q in C is contained in Q(ζ n) for some n.
Ad
related to: primitive root theorem meaning in geometry formula sheet pdf for jeekutasoftware.com has been visited by 10K+ users in the past month