#### DOCUMENTA MATHEMATICA,
Vol. Extra Volume: John H. Coates' Sixtieth Birthday (2006), 165-209

** David Burns and Otmar Venjakob **
On the Leading Terms of Zeta Isomorphisms and
p-Adic L-functions in Non-Commutative Iwasawa Theory

We discuss the formalism of Iwasawa theory descent in the setting of the
localized $K_1$-groups of Fukaya and Kato. We then prove interpolation
formulas for the `leading terms' of the global Zeta isomorphisms that are
associated to certain Tate motives and of the $p$-adic $L$-functions that
are associated to certain critical motives.

2000 Mathematics Subject Classification: Primary 11G40;
Secondary
11R65
19A31
19B28

Keywords and Phrases:

Full text: dvi.gz 99 k,
dvi 341 k,
ps.gz 903 k,
pdf 520 k.

Home Page of
DOCUMENTA MATHEMATICA