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

DOI: 10.5802/jtnb.686

@article{JTNB_2009__21_3_517_0,
     author = {Chandan Singh Dalawat},
     title = {Wilson{\textquoteright}s theorem},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {517--521},
     publisher = {Universit\'e Bordeaux 1},
     volume = {21},
     number = {3},
     year = {2009},
     doi = {10.5802/jtnb.686},
     mrnumber = {2605531},
     zbl = {1204.11166},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.686/}
}

TY  - JOUR
AU  - Chandan Singh Dalawat
TI  - Wilson’s theorem
JO  - Journal de théorie des nombres de Bordeaux
PY  - 2009
SP  - 517
EP  - 521
VL  - 21
IS  - 3
PB  - Université Bordeaux 1
UR  - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.686/
DO  - 10.5802/jtnb.686
LA  - en
ID  - JTNB_2009__21_3_517_0
ER  - 

%0 Journal Article
%A Chandan Singh Dalawat
%T Wilson’s theorem
%J Journal de théorie des nombres de Bordeaux
%D 2009
%P 517-521
%V 21
%N 3
%I Université Bordeaux 1
%U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.686/
%R 10.5802/jtnb.686
%G en
%F JTNB_2009__21_3_517_0

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. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.686/