Proceedings of the St. Petersburg Mathematical Society, Volume III
Books in this series highlight some of the most interesting works presented
at symposia sponsored by the St. Petersburg Mathematical Society. Aimed
at researchers in number theory, field theory, and algebraic geometry,
the present volume deals primarily with aspects of the theory of higher
local fields and other types of complete discretely valuated fields. Most
of the papers require background in local class field theory and algebraic
$K$theory; however, two of them, "Unit Fractions" and "Collections of
Multiple Sums", would be accessible to undergraduates.
Contents

A. I. Madunts, I. B. Zhukov. Multidimensional complete fields: Topology
and other basic constructions

V. A. Abrashkin. A ramification filtration of the Galois group of
a local field

B. M. Bekker. Class field theory for multidimensional complete fields
with quasifinite residue fields

D. G. Benois. On $p$adic representations arising from formal groups

S. V. Vostokov. The pairing on $K$groups in fields of valuation
of rank $n$

S. V. Vostokov. ArtinHasse exponentials and Bernoulli numbers

S. V. Vostokov, I. B. Zhukov. Some approaches to the construction
of abelian extensions for $\germ p$adic fields

I. B. Zhukov. Structure theorems for complete fields

O. Izhboldin, L. Kurliandchik. Unit fractions

D. V. Fomin, O. T. Izhboldin. Collections of multiple sums

A. I. Madunts. On convergence of series over local fields

A. Nenashev. On Köck's conjecture about shuffle products
Publisher: SanktPetersburg University Press
Publication Year: 1995
Paging: 324 pp.
Language: Russian
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