Quadratic Gauss Sum

Quadratic Gauss Sum

In number theory, quadratic Gauss sums are certain finite sums of roots of unity. A quadratic Gauss sum can be interpreted as a linear combination of the values of the complex exponential function with coefficients given by a quadratic character; for a general character, one obtains a more general Gauss sum. These objects are named after Carl Friedrich Gauss, who studied them extensively and applied them to quadratic, cubic, and biquadratic reciprocity laws.

Read more about Quadratic Gauss Sum:  Definition, Generalized Quadratic Gauss Sums

Famous quotes containing the word sum:

    The sum of the whole matter is this, that our civilization cannot survive materially unless it be redeemed spiritually.
    Woodrow Wilson (1856–1924)