Lesson plan
Trace formula
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.
Article summary
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.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.