The German mathematician Peter Gustav Lejeune Dirichlet (1805–1859) is the eponym of many things.

Mathematics

• Theorems named Dirichlet's theorem:
  • Dirichlet's approximation theorem ( diophantine approximation)
  • Dirichlet's theorem on arithmetic progressions ( number theory, specifically prime numbers)
  • Dirichlet's unit theorem ( algebraic number theory and rings)
• Dirichlet algebra
• Dirichlet beta function
• Dirichlet boundary condition ( differential equations)
  • Neumann–Dirichlet method
• Dirichlet characters (number theory, specifically zeta and L-functions. 1831)
• Dirichlet conditions (Fourier series)
• Dirichlet convolution (number theory and arithmetic functions)
• Dirichlet density (number theory)
  • Dirichlet average
• Dirichlet distribution (probability theory)
  • Dirichlet-multinomial distribution
  • Dirichlet negative multinomial distribution
  • Generalized Dirichlet distribution (probability theory)
  • Grouped Dirichlet distribution
  • Inverted Dirichlet distribution
  • Matrix variate Dirichlet distribution
• Dirichlet divisor problem (currently unsolved) (Number theory)
• Dirichlet eigenvalue
• Dirichlet's ellipsoidal problem
• Dirichlet eta function (number theory)
• Dirichlet form
• Dirichlet function ( topology)
• Dirichlet hyperbola method
• Dirichlet integral
• Dirichlet kernel ( functional analysis, Fourier series)
• Dirichlet L-function
• Dirichlet principle
• Dirichlet problem ( partial differential equations)
• Dirichlet process
  • Dependent Dirichlet process
  • Hierarchical Dirichlet process
  • Imprecise Dirichlet process
• Dirichlet ring (number theory)
• Dirichlet series ( analytic number theory)
  • Dirichlet series inversion
  • General Dirichlet series
• Dirichlet space
• Dirichlet stability criterion ( dynamical systems)
• Dirichlet tessellation, Dirichlet cell, Dirichlet polygon also called a Voronoi diagram ( geometry)
• Dirichlet's test (analysis)
• Dirichlet's energy
• Pigeonhole principle/Dirichlet's box (or drawer) principle ( combinatorics)
• Latent Dirichlet allocation
• Class number formula

Physics

• Dirichlet membrane

Non-mathematical

• 11665 Dirichlet
• Dirichlet (crater)
• Dirichlet–Jackson Basin