Hardcover ISBN:  9780821803875 
Product Code:  TRANS2/166 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470433772 
Product Code:  TRANS2/166.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821803875 
eBook: ISBN:  9781470433772 
Product Code:  TRANS2/166.B 
List Price:  $340.00 $257.50 
MAA Member Price:  $306.00 $231.75 
AMS Member Price:  $272.00 $206.00 
Hardcover ISBN:  9780821803875 
Product Code:  TRANS2/166 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470433772 
Product Code:  TRANS2/166.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821803875 
eBook ISBN:  9781470433772 
Product Code:  TRANS2/166.B 
List Price:  $340.00 $257.50 
MAA Member Price:  $306.00 $231.75 
AMS Member Price:  $272.00 $206.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Volume: 166; 1995; 267 ppMSC: Primary 11
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.
ReadershipScientists working in number theory, field theory, or algebraic geometry.

Table of Contents

Chapters

A. I. Madunts and 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 and I. B. Zhukov — Some approaches to the construction of abelian extensions for $\mathfrak {p}$adic fields

I. B. Zhukov — Structure theorems for complete fields

O. Izhboldin and L. Kurliandchik — Unit fractions

D. V. Fomin and 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


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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.
Scientists working in number theory, field theory, or algebraic geometry.

Chapters

A. I. Madunts and 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 and I. B. Zhukov — Some approaches to the construction of abelian extensions for $\mathfrak {p}$adic fields

I. B. Zhukov — Structure theorems for complete fields

O. Izhboldin and L. Kurliandchik — Unit fractions

D. V. Fomin and 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