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Currently displaying 1 – 2 of 2

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Quelques « formules de masse » raffinées en degré premier

Chandan Singh Dalawat — 2012

Bulletin de la Société Mathématique de France

Pour un corps local à corps résiduel fini de caractéristique $p$ , nous donnons quelques raffinements de la formule de masse de Serre en degré $p$ qui nous permettent de calculer par exemple la contribution des extensions cycliques, ou celles dont la clôture galoisienne a pour groupe d’automorphismes un groupe donné à l’avance, ou possède des propriétés de ramification également données à l’avance.

Wilson’s theorem

Chandan Singh Dalawat — 2009

Journal de Théorie des Nombres de Bordeaux

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 $𝔬$ .

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