English

Quelques "formules de masse" raffin\'ees en degr\'e premier

Number Theory 2014-07-29 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1110.6702,
  title  = {Quelques "formules de masse" raffin\'ees en degr\'e premier},
  author = {Chandan Singh Dalawat},
  journal= {arXiv preprint arXiv:1110.6702},
  year   = {2014}
}

Comments

8 pages, corrected some typos

R2 v1 2026-06-21T19:28:13.143Z