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:
“To sum up our most serious objections in a few words, we should say that Carlyle indicates a depthand we mean not impliedly, but distinctlywhich he neglects to fathom.”
—Henry David Thoreau (18171862)