Trace formula may refer to:

• Arthur–Selberg trace formula, also known as invariant trace formula, Jacquet's relative trace formula, simple trace formula, stable trace formula
• Grothendieck trace formula, an analogue in algebraic geometry of the Lefschetz fixed-point theorem in algebraic topology, used to express the Hasse–Weil zeta function.
• Gutzwiller trace formula: See Quantum chaos
• Kuznetsov trace formula, an extension of the Petersson trace formula.
• Local trace formula, an analog of Arthur–Selberg trace formula
• Petersson trace formula
• Selberg trace formula
• Behrend's trace formula, or Behrend's fixed point formula a generalization of the Grothendieck–Lefschetz trace formula, that may be interpreted as a Selberg trace formula.

• List of zeta functions
• List of fixed point theorems