In mathematics, gap theorem may refer to:
- The Weierstrass gap theorem in algebraic geometry
- The Ostrowski–Hadamard gap theorem on lacunary functions
- The Fabry gap theorem on lacunary functions
- The gap theorem of Fourier analysis, a statement about the vanishing of discrete Fourier coefficients for functions that are identically zero on an interval shorter than 2π
- The gap theorem in computational complexity theory
- Saharon Shelah's Main Gap Theorem which solved Morley's problem in model theory
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