Galois theory | Euclidean plane geometry | Cyclotomic fields

Gaussian period

In mathematics, in the area of number theory, a Gaussian period is a certain kind of sum of roots of unity. The periods permit explicit calculations in cyclotomic fields connected with Galois theory and with harmonic analysis (discrete Fourier transform). They are basic in the classical theory called cyclotomy. Closely related is the Gauss sum, a type of exponential sum which is a linear combination of periods. (Wikipedia).

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Related pages

Galois theory | Functional equation | Finite field | Dirichlet character | Exponential sum | Quadratic residue | Index of a subgroup | Discrete Fourier transform | Root of unity | Carl Friedrich Gauss | Sides of an equation | Cyclotomic field | Heptadecagon | Gauss sum | L-function | Legendre symbol | Gamma function | Mathematics | Ramification (mathematics) | Modular arithmetic | Field trace | Algebraic number theory | Möbius function | Number theory | Linear combination | Galois group | Subgroup | Quadratic field | Coset | Fourier transform | Harmonic analysis