# Dirichlet's theorem

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**Dirichlet's theorem** may refer to any of several mathematical theorems due to [Peter Gustav Lejeune Dirichlet](/source/Peter_Gustav_Lejeune_Dirichlet).

- [Dirichlet's theorem on arithmetic progressions](/source/Dirichlet's_theorem_on_arithmetic_progressions)
- [Dirichlet's approximation theorem](/source/Dirichlet's_approximation_theorem)
- [Dirichlet's unit theorem](/source/Dirichlet's_unit_theorem)
- [Dirichlet conditions](/source/Dirichlet_conditions)
- [Dirichlet boundary condition](/source/Dirichlet_boundary_condition)
- [Dirichlet's principle](/source/Dirichlet's_principle)
- [Pigeonhole principle](/source/Pigeonhole_principle), sometimes also called Dirichlet's principle
- [Dirichlet's test](/source/Dirichlet's_test) for convergence

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Adapted from the Wikipedia article [Dirichlet's theorem](https://en.wikipedia.org/wiki/Dirichlet's_theorem) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Dirichlet's_theorem?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.