Wilson’s theorem
Chandan Singh Dalawat1
1Harish-Chandra Research Institute Chhatnag Road, Jhunsi 211019 Allahabad, Inde
Journal de théorie des nombres de Bordeaux, Volume 21 (2009) no. 3, pp. 517-521

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

On fait voir comment K. Hensel aurait pû étendre le théorème de Wilson de Z à l’anneau des entiers 𝔬 d’un corps de nombres, pour trouver le produit de tous les éléments inversibles d’un quotient fini de 𝔬.

Received:
Published online:
DOI: 10.5802/jtnb.686

Chandan Singh Dalawat  1

1 Harish-Chandra Research Institute Chhatnag Road, Jhunsi 211019 Allahabad, Inde 
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Chandan Singh Dalawat. Wilson’s theorem. Journal de théorie des nombres de Bordeaux, Volume 21 (2009) no. 3, pp. 517-521. doi: 10.5802/jtnb.686

[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.

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