# Definition:Residue

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## Disambiguation

This page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

**Residue** may refer to:

- Complex Analysis
- Residue: the coefficient of $\paren {z - z_0}^{-1}$ in the Laurent series of a complex function

- Number Theory
- Residue: an integer $a$ is a residue of $m$ of order $n$ if and only if $\exists x \in \Z: x^n \equiv a \pmod m$ for $m, n \in \N$ where $a \perp m$.

- Field Theory
- Residue Field the quotient ring $R / m$ of a commutative local ring $R$ by its maximal ideal $m$.

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