# Wilson's Theorem/Generalization/Historical Note

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## Historical Note on Generalization of Wilson's Theorem

This generalization of Wilson's theorem was demonstrated, according to Donald E. Knuth: *The Art of Computer Programming: Volume 1: Fundamental Algorithms* (3rd ed.), by Ludwig Stickelberger in $1890$.

It is supposed that this appears in Stickelberger's $1890$ article *Ueber eine Verallgemeinerung der Kreistheilung* (*Math. Ann.* **Vol. 37**: 321 – 367) during the course of his proof of Stickelberger's Theorem.

However, not only is the latter behind a paywall, it is also in a language the author of this page is not fluent in, and he has been disinclined to study it.

## Sources

- 1997: Donald E. Knuth:
*The Art of Computer Programming: Volume 1: Fundamental Algorithms*(3rd ed.) ... (previous) ... (next): $\S 1.2.5$: Permutations and Factorials: Exercise $14$