Pólya-Vinogradov Inequality
Let 
be a nonprincipal character (mod 
). Then
where
indicates Much Less than.
References
Davenport, H. ``The Pólya-Vinogradov Inequality.'' Ch. 23 in Multiplicative Number Theory, 2nd ed. New York: Springer-Verlag, pp. 135-138, 1980. Pólya, G. ``Über die Verteilung der quadratischen Reste und Nichtreste.'' Nachr. Königl. Gesell. Wissensch. Göttingen, Math.-Phys. Klasse, 21-29, 1918.
- Jacobian Group
- Jacobi Differential Equation
- Jacobi Differential Equation (Calculus of Variations)
- Jacobi Elliptic Functions
- Jacobi Function of the First Kind
- Jacobi Function of the Second Kind
- Jacobi-Gauss Quadrature
- Jacobi Identities
- Jacobi Matrix
- Jacobi Method
- Jacobi Polynomial
- Jacobi Quadrature
- Jacobi Rotation Matrix
- Jacobi's Curvature Theorem
- Jacobi's Determinant Identity
- Jacobi's Imaginary Transformation
- Jacobi's Theorem
- Jacobi Symbol
- Jacobi Tensor
- Jacobi Theta Function
- Jacobi Transformation
- Jacobi Triple Product
- Jacobi Zeta Function
- Jacobsthal-Lucas Number
- Jacobsthal-Lucas Polynomial