Circulant Determinant
Gradshteyn and Ryzhik (1970) define circulants by
 | (1) |
is the 
th Root of Unity. The second-order circulant determinant is | (2) |
 | (3) |
and 
are the Complex Cube Roots of Unity.The Eigenvalues 
of the corresponding 
circulant matrix are
 | (4) |
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, pp. 1111-1112, 1979. Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, p. 114, 1991.
- Diophantus Property
- Diophantus' Riddle
- Dipyramid
- Dirac Delta Function
- Dirac Matrices
- Dirac's Theorem
- Directed Angle
- Directed Graph
- Directional Derivative
- Direction Cosine
- Directly Similar
- Director Curve
- Direct Product (Group)
- Direct Product (Matrix)
- Direct Product (Set)
- Direct Product (Tensor)
- Directrix (Conic Section)
- Directrix (Graph)
- Directrix (Ruled Surface)
- Direct Search Factorization
- Direct Sum (Module)
- Dirichlet Beta Function
- Dirichlet Boundary Conditions
- Dirichlet Conditions
- Dirichlet Divisor Problem