Geodesic
On equivariant Dedekind zeta-functions at $s=1$
Documenta mathematica, Andrei A. Suslin's Sixtieth Birthday (2010), pp. 119-146.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We study a refinement of an explicit conjecture of Tate concerning the values at $s=1$ of Artin $L$-functions. We reinterpret this refinement in terms of Tamagawa number conjectures and then use this connection to obtain some important (and unconditional) evidence for our conjecture.
Classification : 11R42, 11R33
Keywords: Artin $L$-functions, equivariant zeta functions, equivariant Tamagawa number conjecture, leading terms 
@article{DOCMA_2010__S4__a18,
     author = {Breuning, Manuel and Burns, David},
     title = {On equivariant {Dedekind} zeta-functions at $s=1$},
     journal = {Documenta mathematica},
     pages = {119--146},
     publisher = {mathdoc},
     volume = {Andrei A. Suslin's Sixtieth Birthday},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2010__S4__a18/}
}
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Breuning, Manuel; Burns, David. On equivariant Dedekind zeta-functions at $s=1$. Documenta mathematica, Andrei A. Suslin's Sixtieth Birthday (2010), pp. 119-146. http://geodesic.mathdoc.fr/item/DOCMA_2010__S4__a18/