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. Artin-Hasse 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: Sankt-Petersburg University Press

Publication Year: 1995

Paging: 324 pp.

Language: Russian

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