Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Gaussian sum
|
| gptkbp:application |
gptkb:Quadratic_reciprocity
L-functions Fourier analysis on finite groups |
| gptkbp:defines |
A finite sum of roots of unity, often of the form G(χ) = Σ χ(n) e^{2πi n / N}
|
| gptkbp:field |
gptkb:Number_theory
|
| gptkbp:involves |
gptkb:lion
Roots of unity |
| gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:property |
Quadratic Gauss sum has value √N or i√N depending on N mod 4
Absolute value is related to the modulus N |
| gptkbp:relatedTo |
gptkb:Jacobi_sum
gptkb:Kloosterman_sum Exponential sum |
| gptkbp:studiedBy |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:usedIn |
gptkb:Analytic_number_theory
Estimation of character sums Proof of quadratic reciprocity |
| gptkbp:bfsParent |
gptkb:Karl_Friedrich_Gauss
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gauss–Sum
|