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.
Read more about Gaussian Period: History, General Definition, Example, Gauss Sums, Relationship of Gaussian Periods and Gauss Sums
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“Words convey the mental treasures of one period to the generations that follow; and laden with this, their precious freight, they sail safely across gulfs of time in which empires have suffered shipwreck and the languages of common life have sunk into oblivion.”
—Anonymous. Quoted in Richard Chevenix Trench, On the Study of Words, lecture 1 (1858)