Nine Papers from the International Congres s

of Mathematicians 198 6

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AMERICAN MATHEMATICAL SOCIET Y TRANSLATIONS

Series 2 Volume 147

Nine Papers from the International Congres s

of Mathematicians 198 6

by

I. G. Bashmakov a G. V. Belyi E. D. Gluski n S. K. Goduno v A. A. Goncha r

A. M. Olevski l M. G. Peretyat'ki n A. A. Razborov A. V. Skorokho d

AMERICAN MATHEMATICA L SOCIET Y

PROVIDENCE, RHOD E ISLAN D

http://dx.doi.org/10.1090/trans2/147

Translation edite d b y BEN SILVER

1980 Mathematics Subject Classification (1985 Revision). Primar y 03C57 , 11-03 , 11D09 , 11R32, 30E10 , 42-02 , 42A20, 42A24 , 42A28, 42A61, 42C10 , 46-02 , 46B20, 60-02 , 60B99, 60G07, 65F15 , 68Q15 , 94C10 ; Secondar y 11D25 , 11D41 , 20E05 , 20E07 , 20E18 , 42C20 , 43A46, 46B15, 60G42.

International Congres s of Mathematician s (1986 : Berkeley , Calif. ) Nine papers from th e International Congres s of Mathematicians 198 6 / b y I. G. Bash-

makova .. . [e t al.; translation edite d b y Ben Silver]. p. cm. - (America n Mathematica l Societ y translations, ISSN 0065-9290; ser. 2, v. 147 ) Translated fro m th e Russian . Includes bibliographical references . ISBN 0-8218-3133-X (alk . paper ) 1. Mathematics-Congresses . I . Bashmakova , I . G . (Izabell a Grigor'evna ) II . Silver ,

Ben. III . Title . IV . Title : 9 paper s fro m th e Internationa l Congres s o f Mathematician s 1986. V . Series. QA3.A572 ser . 2 , vol. 14 7 [QA1] 510s-dc20 90-2243 0 [510] CI P

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109 8 76 5 4 3 2 1 9 4 93 92 91 90

Contents

A. V. Skorokhod, Random processe s in infinite-dimensiona l space s 1 M. G. Peretyat'kin, Finitely axiomatizabl e theorie s 1 1 G. V. Belyi, On the commutator subgrou p of the absolute Galois group 2 1 A. A. Gonchar, Rational approximation s o f analyti c functions 2 5 E. D. Gluskin, Probability i n the geometry o f Banach space s 3 5 A. M . Olevskii , Homeomorphism s o f th e circle , modification s o f

functions, an d Fourie r serie s 5 1 S. K. Godunov, The problem of guaranteed precision in numerical meth-

ods of linea r algebr a 6 5 A. A . Razborov , Lowe r bound s fo r monoton e complexit y o f Boolea n

functions 7 5 I. G. Bashmakova, Diophantine equation s and th e evolution o f algebr a 8 5

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Russian Contents *

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*The America n Mathematica l Societ y schem e fo r transliteration o f Cyrilli c ma y be foun d at th e end of index issue s o f Mathematical Reviews.

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