is called a Gauss sum on associated to .
In general, the equation (for nontrivial and ) reduces the computation of general Gauss sums to that of . The absolute value of is always as long as is nontrivial, and if is a quadratic character (that is, is the Legendre symbol ), then the value of the Gauss sum is known to be
- 1 Kenneth Ireland & Michael Rosen, A Classical Introduction to Modern Number Theory, Second Edition, Springer–Verlag, 1990.
|Date of creation||2013-03-22 12:48:28|
|Last modified on||2013-03-22 12:48:28|
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