: Mathématiques: Gaussian period

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number > number theory > algebraic number theory > cyclotomic field > Gaussian period

number > complex number > quadratic integer > Gaussian period

number > number theory > algebraic number theory > quadratic integer > Gaussian period

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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, The Free Encyclopedia, https://en.wikipedia.org/wiki/Gaussian_period)

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