Chandan Singh Dalawat
Published 2011-10-31, updated 2011-12-23Version 2
For a local field with finite residue field of characteristique p, we give some refinements of Serre's mass formula in degree p which allow us to compute for example the contribution of cyclic extensions, or of those whose galoisian closure has a given group as group of automorphisms, or has ramification properties given in advance.
Comments: 8 pages, corrected some typos
Journal: Bulletin de la Soci\'et\'e math\'ematique de France 140 (2012) 4, 599-606
Extensions of local fields and elementary symmetric polynomials
An equivalence between two approaches to limits of local fields
Serre's "formule de masse" in prime degree
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