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Everything about Fabius function

Smooth nowhere-analytic function

In mathematics, the Fabius function is a smooth cumulative distribution function that is strictly increasing on but nowhere real-analytic. It is the distribution function of the random series where the are independent random variables uniformly distributed on. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Fabius functionA 5-minute orientation
  2. Pick up a classic book: A History Of Penance, Being A Study Of AuthoritiesThe most-reprinted book on the subject
  3. Read the landmark paper: Vieta’s Formula, the Fabius Function and the Partition FunctionCited 0 times
  4. Go sideways: Partial fractions in complex analysisA closely related topic
  5. Go sideways: Logarithmic normA closely related topic

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