Dalawat: Wilson’s theorem

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Chandan Singh Dalawat
Wilson’s theorem
Journal de théorie des nombres de Bordeaux, 21 no. 3 (2009), p. 517-521, doi: 10.5802/jtnb.686
Article PDF | Reviews MR 2605531 | Zbl 1204.11166

Résumé - Abstract

We show how K. Hensel could have extended Wilson’s theorem from ${\bf Z}$ to the ring of integers $\mathfrak{o}$ in a number field, to find the product of all invertible elements of a finite quotient of $\mathfrak{o}$.

Bibliography

[1] C. Gauss, Disquisitiones arithmeticae. Gerh. Fleischer, Lipsiae, 1801, xviii+668 pp.
[2] K. Hensel, Die multiplikative Darstellung der algebraischen Zahlen für den Bereich eines beliebigen Primteilers. J. f. d. reine und angewandte Math., 146 (1916), pp. 189–215. JFM 46.0251.01