Mathematics – Number Theory
Scientific paper
2011-10-31
Mathematics
Number Theory
8 pages, corrected some typos
Scientific paper
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.
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