%!PS-Adobe-3.0 %%Title: G:\2E-TEST\amalog\example.dvi %%Creator: DVIPSONE (32) 2.1.3 http://www.YandY.com %%For: Springer Verlag Heidelberg #4 2048 1999 Jan 06 13:57:11 %%CreationDate: 2000 Jul 05 13:34:55 %%BoundingBox: 72 168 397 769 %%Pages: 5 %%PageOrder: Ascend %%DocumentSuppliedResources: font tir Myrbold mtsyn tib mtmi eufm10 tibi %%+ font mtex com tii cmsy10 %%+ procset dvipream 2 1 %%Copyright: (C) 1990--1998, Y&Y, Inc. (978) 371-3286 http://www.YandY.com %%EndComments % Command: % C:\programme\yandy\dvipsone\DVIPSONE -v -d=example.ps -l=a4 -s=arborcom G:\2E-TEST\amalog\example.dvi % TeX output 2000.07.05:1334 %%BeginProlog /dvidict 321 dict def %%BeginResource: procset dvipream 2 1 % DVIPSONE preamble version 2.1.3 (1998 Dec 8) currentfile eexec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/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide /oslash/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def end % dvidict %%EndProlog %%BeginSetup dvidict begin %%BeginResource: font tir %!PS-AdobeFont-1.0: Times-Roman 002.000 %%CreationDate: Thu May 1 14:12:30 1997 %% Typefaces licensed to you is copyrighted (c) 1985, 1987, 1989, 1990, 1993, %% outline data for producing the Typefaces licensed to you is copyrighted (c) %% Times is a trademark of Linotype-Hell AG and/or its subsidiaries. 11 dict begin /FontInfo 11 dict dup begin /version (002.000) readonly def /Notice (Copyright (c) 1985, 1987, 1989, 1990, 1993, 1997 Adobe Systems Incorporated. All Rights Reserved.Times is a trademark of Linotype-Hell AG and/or its subsidiaries.) readonly def /Copyright ( The digitally encoded machine readable software for producing the Typefaces licensed to you is copyrighted (c) 1985, 1987, 1989, 1990, 1993, 1997 Adobe Systems. All Rights Reserved. This software is the property of Adobe Systems Incorporated and its licensors, and may not be reproduced, used, displayed, modified, disclosed or transferred without the express written approval of Adobe. The digitally encoded machine readable outline data for producing the Typefaces licensed to you is copyrighted (c) 1981, 1997 Linotype-Hell AG and/or its subsidiaries. All Rights Reserved. This data is the property of Linotype-Hell AG and/or its subsidiaries and may not be reproduced, used, displayed, modified, disclosed or transferred without the express written approval of Linotype-Hell AG and/or its subsidiaries. ) readonly def /FullName (Times Roman) readonly def /FamilyName (Times) readonly def /Weight (Roman) readonly def /isFixedPitch false def /ItalicAngle 0 def /UnderlinePosition -100 def /UnderlineThickness 50 def /BaseFontName (Times-Roman) def end readonly def /FontName /tir def /Encoding TEXNANSI def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] def /UniqueID 43146 def /FontBBox{-168 -218 1000 898}readonly def currentdict end currentfile eexec 8B6E5D94C2011E84337EB6AA8C9F94ED23D9D874B2B6213329D8B14E7506C2C44191FCA634722D E2D7517EDDBF38A72143AA3731F22DB880BE1DEB8D8C4B788FB50B26512E484404A443792A51C3 1C744B2A234A2AA147E9D791B3080B004F961E6185A1D88823C51EF3CB1E5EFC14BC413A0F87A4 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00000000000000000000000000000000 cleartomark % font wrapper removed %%EndResource %%BeginResource: font mtsyn %!PS-AdobeFont-1.1: MTSYN 1.000 %%CreationDate: 1996 Aug 26 20:27:17 % Copyright (c) 1996 Publish or Perish, Inc. % Hinting Copyright (c) 1996 Y&Y, Inc. % MathTime is a registered trademark of Publish or Perish, Inc. 11 dict begin /FontInfo 10 dict dup begin /version (1.000) readonly def /Notice (Copyright (c) 1992-1996 Publish or Perish and Y&Y, Inc.) readonly def /FullName (MTSYN) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /BaseFontName (MTSYN) def end readonly def /FontName /mtsyn def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 3 /asteriskmath put dup 14 /openbullet put dup 17 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Times-Bold 002.000 %%CreationDate: Thu May 1 14:16:21 1997 %% Typefaces licensed to you is copyrighted (c) 1985, 1987, 1989, 1990, 1993, %% outline data for producing the Typefaces licensed to you is copyrighted (c) %% Times is a trademark of Linotype-Hell AG and/or its subsidiaries. 11 dict begin /FontInfo 11 dict dup begin /version (002.000) readonly def /Notice (Copyright (c) 1985, 1987, 1989, 1990, 1993, 1997 Adobe Systems Incorporated. All Rights Reserved.Times is a trademark of Linotype-Hell AG and/or its subsidiaries.) readonly def /Copyright ( The digitally encoded machine readable software for producing the Typefaces licensed to you is copyrighted (c) 1985, 1987, 1989, 1990, 1993, 1997 Adobe Systems. All Rights Reserved. This software is the property of Adobe Systems Incorporated and its licensors, and may not be reproduced, used, displayed, modified, disclosed or transferred without the express written approval of Adobe. The digitally encoded machine readable outline data for producing the Typefaces licensed to you is copyrighted (c) 1981, 1997 Linotype-Hell AG and/or its subsidiaries. All Rights Reserved. This data is the property of Linotype-Hell AG and/or its subsidiaries and may not be reproduced, used, displayed, modified, disclosed or transferred without the express written approval of Linotype-Hell AG and/or its subsidiaries. ) readonly def /FullName (Times Bold) readonly def /FamilyName (Times) readonly def /Weight (Bold) readonly def /isFixedPitch false def /ItalicAngle 0 def /UnderlinePosition -100 def /UnderlineThickness 50 def /BaseFontName (Times-Bold) def end readonly def /FontName /tib def /Encoding TEXNANSI def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] def /UniqueID 43147 def /FontBBox{-168 -218 1000 935}readonly def currentdict end currentfile eexec 4F224B1D6C1C6DA43DBA56EED7BD8575D847B7E57E1E5796EE165279A8A085D4BF103C9D8BB98E B8785C96C30953E2D584D034F6BF587DDBDAA20CD56D1715D6182DDBF1692332BD50C40D4753F7 7D287C71C92D9A26D31AF100EF914DA24B6C1F7AD5160895BFB9E768957698F3A01E3426AF1791 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cleartomark %%EndResource %%BeginResource: font mtmi %!PS-AdobeFont-1.1: MTMI 1.101 %%CreationDate: 1993 May 10 16:52:31 % Copyright (c) 1992, 1993 The TeXplorators Corporation % Hinting Copyright (c) 1992, 1993 Y&Y, Inc. http://www.YandY.com % MathTime is a trademark of The TeXplorators Corporation 11 dict begin /FontInfo 10 dict dup begin /version (1.101) readonly def /Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation and Y&Y, Inc. (978) 371-3286. http://www.YandY.com) readonly def /FullName (MTMI) def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle -14.036 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /BaseFontName (MTMI) def end readonly def /FontName /mtmi def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 16 /zeta put dup 21 /lambda put dup 25 /pi put dup 27 /sigma put dup 46 /parenleft put dup 47 /parenright put dup 48 /Gamma1 put dup 54 /Sigma1 put dup 58 /period put dup 59 /comma put dup 61 /slash put dup 62 /greater put dup 65 /A put dup 66 /B put dup 69 /E put dup 70 /F put dup 75 /K put dup 76 /L put dup 78 /N put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 97 /a put dup 98 /b put dup 99 /c put dup 102 /f put dup 105 /i put dup 107 /k put dup 110 /n put dup 112 /p put dup 115 /s put dup 117 /u put dup 118 /v put dup 120 /x put dup 121 /y put readonly def /FontBBox{0 -213 987 680}readonly def /UniqueID 5018946 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndResource %%BeginResource: font eufm10 %!PS-AdobeFont-1.1: EUFM10 2.1 %%CreationDate: 1992 Nov 20 17:36:20 % Copyright (C) 1991, 1992 Y&Y, Inc. All rights reserved. % Copyright (C) 1991, 1992 Blue Sky Research, Inc. All rights reserved. 11 dict begin /FontInfo 8 dict dup begin /version (2.1) readonly def /Notice (Copyright (c) 1991, 1992 Y&Y, Inc. All rights reserved. (978) 371-3286) readonly def /FullName (EUFM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /BaseFontName (EUFM10) def end readonly def /FontName /eufm10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding textext def /FontBBox{-26 -224 1055 741}readonly def /UniqueID 5031986 def currentdict end currentfile eexec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cleartomark %%EndResource %%BeginResource: font tibi %!PS-AdobeFont-1.0: Times-BoldItalic 002.000 %%CreationDate: Thu May 1 14:23:59 1997 %% Typefaces licensed to you is copyrighted (c) 1985, 1987, 1989, 1990, 1993, %% outline data for producing the Typefaces licensed to you is copyrighted (c) %% Times is a trademark of Linotype-Hell AG and/or its subsidiaries. 11 dict begin /FontInfo 11 dict dup begin /version (002.000) readonly def /Notice (Copyright (c) 1985, 1987, 1989, 1990, 1993, 1997 Adobe Systems Incorporated. All Rights Reserved.Times is a trademark of Linotype-Hell AG and/or its subsidiaries.) readonly def /Copyright ( The digitally encoded machine readable software for producing the Typefaces licensed to you is copyrighted (c) 1985, 1987, 1989, 1990, 1993, 1997 Adobe Systems. All Rights Reserved. This software is the property of Adobe Systems Incorporated and its licensors, and may not be reproduced, used, displayed, modified, disclosed or transferred without the express written approval of Adobe. The digitally encoded machine readable outline data for producing the Typefaces licensed to you is copyrighted (c) 1981, 1997 Linotype-Hell AG and/or its subsidiaries. All Rights Reserved. This data is the property of Linotype-Hell AG and/or its subsidiaries and may not be reproduced, used, displayed, modified, disclosed or transferred without the express written approval of Linotype-Hell AG and/or its subsidiaries. ) readonly def /FullName (Times Bold Italic) readonly def /FamilyName (Times) readonly def /Weight (Bold) readonly def /isFixedPitch false def /ItalicAngle -15 def /UnderlinePosition -100 def /UnderlineThickness 50 def /BaseFontName (Times-BoldItalic) def end readonly def /FontName /tibi def /Encoding TEXNANSI def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] def /UniqueID 43149 def /FontBBox{-200 -218 996 921}readonly def currentdict end currentfile eexec 3C35EC313CF1971311F4293EDD206983D4941CD393A4B24F6B6167D1AB27E88D6D3E774025E532 39B78CE895082866C59D1D2947146808980B0BFEB8C80629538EFEB1FD2E7AA50E757E937DD97E 9B2BD40855290D1355C7B3BDAAE4D6C78D9B5FC438A18E84C1A9F3336A832D08A0DDAFB8C6AA18 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndResource %%BeginResource: font mtex %!PS-AdobeFont-1.1: MTEX 1.1 %%CreationDate: 1993 Jun 26 10:30:36 % Copyright (c) 1992, 1993 The TeXplorators Corporation % Hinting Copyright (c) 1992, 1993 Y&Y, Inc. % MathTime is a trademark of The TeXplorators Corporation 11 dict begin /FontInfo 10 dict dup begin /version (1.1) readonly def /Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation and Y&Y, Inc. (978) 371-3286. All Rights Reserved.) readonly def /FullName (MTEX) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /BaseFontName (MTEX) def end readonly def /FontName /mtex def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /parenleftbig put dup 1 /parenrightbig put dup 80 /summationtext put dup 88 /summationdisplay put dup 101 /tildewide put readonly def /FontBBox{-23 -2958 1456 766}readonly def /UniqueID 5018948 def currentdict end currentfile eexec 80347982AB3942D930E069A70D0D48311D70C1E2528F01045F8CAEC9829F31D648C8D0A29EA851 AF41C327A0D569ABAAFE5AFE94DAD818C312D3CEE72F1ACEA0B701B6A5608521A2866790BDD577 6D6CD0C7D971B9A48B96AA970DCBB8B76EDCB90DA356DC2529B665EB4BB80AC4F5B0F4C0ED7686 1E399638AD3DB1BE4759C78D4F2E81A2FF688D366B91D729D63AB5FC9556FE10A07B81904D879A 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndResource %%BeginResource: font com %!PS-AdobeFont-1.0: Courier 003.000 %%CreationDate: Thu May 1 17:17:43 1997 % font wrapper removed 11 dict begin /FontInfo 11 dict dup begin /version (003.000) readonly def /Notice (Copyright (c) 1989, 1990, 1991, 1992, 1993, 1997 Adobe Systems Incorporated. All Rights Reserved.) readonly def /FullName (Courier) readonly def /FamilyName (Courier) readonly def /Weight (Medium) readonly def /isFixedPitch true def /ItalicAngle 0 def /UnderlinePosition -100 def /UnderlineThickness 50 def /BaseFontName (Courier) def end readonly def /FontName /com def /Encoding TEXNANSI def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] def /UniqueID 43138 def /FontBBox{-23 -250 623 805}readonly def currentdict end currentfile eexec 9226FEABD0FDF83EC1A6A72836DFB04702C1B600E3AC16DBFD52E7FFF9A67D697C4A36AB43A971 E839022FFB950959A4CC80FB1003BA4A5CC7ED8F76533EDBF2A532FF8043A0BD90729951561C1F 5A568F1D7ED57241F9581F943AF9736F1D54F9ADD490760B533B2AA8EC469C0AD55E70857CEC26 34A84B0CC6D139602A60547D8DD20B0D0270E6AC05D4A1EB121C53AD03ACC661FC19B405468785 1A493ED5E5E8674796C5C1FE8F621845EDEC5C96ABC29EB3B3833BF2D165FE05AB139879B48181 67B15558660CA30ACFCAB87929B324F07DE8DB9AD7704200FD434A1978C8A574777732CF7B0AA0 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cleartomark % font wrapper removed %%EndResource %%BeginResource: font tii %!PS-AdobeFont-1.0: Times-Italic 002.000 %%CreationDate: Thu May 1 14:20:19 1997 %% Typefaces licensed to you is copyrighted (c) 1985, 1987, 1989, 1990, 1993, %% outline data for producing the Typefaces licensed to you is copyrighted (c) %% Times is a trademark of Linotype-Hell AG and/or its subsidiaries. 11 dict begin /FontInfo 11 dict dup begin /version (002.000) readonly def /Notice (Copyright (c) 1985, 1987, 1989, 1990, 1993, 1997 Adobe Systems Incorporated. All Rights Reserved.Times is a trademark of Linotype-Hell AG and/or its subsidiaries.) readonly def /Copyright ( The digitally encoded machine readable software for producing the Typefaces licensed to you is copyrighted (c) 1985, 1987, 1989, 1990, 1993, 1997 Adobe Systems. All Rights Reserved. This software is the property of Adobe Systems Incorporated and its licensors, and may not be reproduced, used, displayed, modified, disclosed or transferred without the express written approval of Adobe. The digitally encoded machine readable outline data for producing the Typefaces licensed to you is copyrighted (c) 1981, 1997 Linotype-Hell AG and/or its subsidiaries. All Rights Reserved. This data is the property of Linotype-Hell AG and/or its subsidiaries and may not be reproduced, used, displayed, modified, disclosed or transferred without the express written approval of Linotype-Hell AG and/or its subsidiaries. ) readonly def /FullName (Times Italic) readonly def /FamilyName (Times) readonly def /Weight (Medium) readonly def /isFixedPitch false def /ItalicAngle -15.5 def /UnderlinePosition -100 def /UnderlineThickness 50 def /BaseFontName (Times-Italic) def end readonly def /FontName /tii def /Encoding TEXNANSI def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] def /UniqueID 43148 def /FontBBox{-169 -217 1010 883}readonly def currentdict end currentfile eexec A6B9A629F232C2F7DBF1D3C363BA134897C3CE34DBAA9EC37BAB446DE4E350515336169BC75297 FF1289D5C1290FC38FC78E4318CFD0B8D7F9A7E9F1A776F374E31179AC39A918BA448C0B8B82DD 50958F71DF52AD394CC70C6A3EE01B0B67A58DD0BAA8D0564A0761B74D0C66FB54F4AE2F555A7B 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W(of)S(its)S(v)s -16384 r(alue)S(group)S(and)S(residue)S(\feld,)S(see)S([)s u -36045 r(A73)s o 1092485 r(,)s u 50990 r(K)s -22938 r(o75)s o 1484262 r(,)s u 50990 r(K)s -9831 r(uPr89)s o 2079984 r(],)S(and)S(the)S(ref-)s o y u(erences)s 143065 W(therein.)s 131268 r(This)S(elementary)S(classi\fcation)S(goes)S(through)S(e)s -16384 r(v)s -9831 r(en)S(when)S(a)S(predicate)s o y u(is)s 163840 W(added)S(for)S(a)S(\feld)S(of)S(representati)s -16384 r(v)s -9831 r(es)S(of)S(the)S(residue)S(\feld.)s o y u 983040 r(Here)s 152644 W(we)S(pro)s -9831 X(vide)S(a)S(mix)T(ed)S(characteristic)S(analogue)S(of)S (the)S(latter)S(when)S(the)S(residue)s o y u(\feld)s 221652 W(is)S(perfect)S(of)S(characteristic)S f7(p)s 241312 r f2(and)S(the)S(maximal)S(ideal)S(is)S(generated)S(by)S f7(p)s 19660 r f2(.)S(F)s -9831 r(or)s o y u(a)s 203762 W(complete)S(discrete)S(v)s -16384 r(aluation)S(ring)S(with)S(these)S(properties)S(the)S(analogue)S (of)S(`\feld)S(of)s o y u(representati)s -16384 W(v)s -9831 X(es')s 108849 r(is)s 157346 r(`multiplicati)S(v)T(e)s 157346 W(set)S(of)S(representati)s -16384 r(v)T(es)S(for)S(the)S(residue)S(\feld')s 108849 r(and)S(is)s o y u(due)s 203208 W(to)s 183547 r(W)s -26215 r(itt.)S(F)s -9831 r(or)S(proofs)S(of)S(this)S(and)S(related)S(results)S (mentioned)S(belo)s -16384 r(w)S(that)S(we)S(shall)s o y u(use)s 163840 W(we)S(refer)S(to)S(Serre)S([)s u(S62)s o 1019740 r(,)S(Ch.)S(II].)s 144179 r(W)s -52429 r(e)S(no)s -16384 r(w)S(proceed)S(to)S(precise)S(statements.)s o y u 983040 r(Fix)s 108837 W(a)S(prime)S(number)S f7(p)s 19660 r f2(.)S(Let)S f7(A)S f2(be)S(a)S(complete)S(discrete)S(v)s -16384 r(aluation)S(ring)S(with)S(maximal)s o y u(ideal)s 112013 X f8(m)s 182040 W f3(D)S f7(p)s 19660 r(A)T f2(and)T(perfect)T(residue)T(\feld)s u x f9(k)s o 621733 r f3(D)S f7(A)s 8519 r(=)s f8(m)T f2(\(of)T(characteristic)T f7(p)s 19660 r f2(\).)T(Let)T f7(\31)s 247576 r f3(V)S f7(A)S f3(!)s o y U f9(k)s o 466310 r f2(be)s 138630 W(the)S(residue)S(class)S(map.)s 126833 r(There)S(is)S(a)S(unique)S(multiplicati)s -16384 r(v)s -9831 r(ely)S(closed)S(set)S f7(S)s 221361 r f3(\22)s 182040 r f7(A)S f2(that)s o y u(is)s 210289 W(mapped)S(bijecti)s -16384 r(v)s -9831 r(ely)S(onto)s u w f9(k)s o 748258 r f2(by)S f7(\31)s 65536 r f2(.)S(\(Among)S(the)S(elements)S(of)S f7(S)s 249610 r f2(are)S(0)s 3931 r(,)S(1)S(and)S f3(\0)s f2(1.\))s o y u(Each)s 187853 W(element)S f7(a)s 253220 X f3(2)s 223729 r f7(A)S f2(can)S(be)S(written)S(uniquely)S(as)S f7(a)T f3(D)s u 223729 r -491520 d f10(P)s M -299264 d u 908580 r f11(1)s o 488007 d u 908580 r f12(i)s 29884 r f11(D)s f13(0)s O 1874384 r f7(s)s u 98303 d f12(i)s o 216058 r f7(p)s u 19660 r -237895 d f12(i)s o 423571 r f2(with)S(coef)s -16384 r(\fcients)s o y u f7(s)s u 98303 d f12(i)s o 398098 r f3(2)s 182040 r f7(S)s 39321 r f2(.)s 150769 W(By)S([)s u(K)s -22938 r(o75)s o 1433272 r(,)S(p.)S(413])S(one)S(can)S(axiomatize)s u w(Th)s o 890015 X f7(.A/)S f2(in)S(terms)S(of)s u w(Th)s o x f7(.)s u f9(k)s o 327680 r f7(/)s f2(.)s 131108 r(W)s -52429 r(e)S(e)s -9831 r(xtend)s o y u(this)s 194330 W(to)S(an)S(axiomatization)S(of)s u w(Th)s o 933576 r f7(.A)s 17695 r(;)s 109224 r(S)s 39321 r(/)S f2(in)S(the)S(theorem)S(belo)s -16384 r(w)s -42599 r(.)S(In)S(its)S(proof)S(we)S(shall)s o 752709 d 26214 21430272 pr 694682 d u f0(K.)s 147456 W(F)s -47186 r(.)S(Gauss:)S(Department)S(of)S(Mathematics,)S(Uni)s -14746 r(v)s -8848 r(ersity)S(of)S(Illinois)S(at)S(Urbana-Champaign,)s o 655360 Y u(Urbana,)s 147456 W(IL)S(61801,)S(USA.)S(e-mail:)S f14(gauss@math.uiuc.edu)s o 851968 d u f0(J.)s 76496 W(H.)S(Poincar\351:)s 147456 W(Equipe)S(d'Analyse,)s 136839 r(T)s -47186 r(our)S(46,)S(Uni)s -14746 r(v)s -8848 X(ersit\351)S(de)S(P)T(aris)s 117964 r(VI,)S(4)S(Place)S(Jussieu,)s o y u(F-75230)s 147456 W(P)s -8848 X(aris)S(Cede)T(x)S(05,)S(France.)S(e-mail:)S f14(poincare@math.bu.edu)s o 1048576 Z u f0(K.)s 76496 W(F)s -47186 r(.)S(Gauss)s 90468 W(w)s -5899 r(as)S(supported)S(by)S(a)S(grant)S(of)S(the)S (Swiss)S(National)S(Science)S(F)s -8848 r(oundation.)S(J.)s 76496 W(H.)S(Poincar\351)s o y u(w)s -5899 r(as)s 161471 W(partially)S(supported)S(by)S(NSF)s 161457 r(grants)S(DMS-98043192)S(and)S(NCR-9850637)S(at)S(Boston)S(Uni-)s o y u(v)s -8848 r(ersity)s o z u f15(K)s -20644 r(e)s -17695 r(y)s 147456 W(wor)s -21824 r(ds)S(or)S(phr)s -8848 r(ases:)S f0(Riemannian)S(geometry)S(\226)S(Hilbert)S(space)S(\226)S(Game)S (theory)S(\226)S(Survi)s -14746 W(v)S(al)s 147456 r(\226)s o y u(Schr\366dinger')s -32441 r(s)s 147456 r(cat)s o z u f15(Mathematics)s 147456 W(Subject)S(Classi\fcation)S(\(2000\):)S f0(03A60,)S(12K05,)S(13L05)s O o eop % [21] end % dvidict %%PageTrailer %%Page: 22 2 dvidict begin 22 2 bop % [22] 39560243 d u -39429171 d U u f0(22)s M u 353894 d 26214 21430272 pr O u 15372326 r(K.)s 76496 W(F)s -47186 r(.)S(Gauss,)s 147456 r(J.)S(H.)S(Poincar\351)s O o 37463091 d u -35633854 d u f2(use)s 163185 W(the)S(functor)S f7(W)s 245105 r f2(that)S(assigns)S(to)s u w f9(k)s o 654050 r f2(the)S(corresponding)S(ring)S f7(W)s 81920 r(.)s u f9(k)s o 327680 r f7(/)S f2(of)S(\223W)s -26215 r(itt)S(v)s -9831 r(ectors\224)s o 786432 Y u(o)s -9831 W(v)S(er)s u 163840 r f9(k)s o 491520 r f2(.)s 152043 r(The)s 163840 W(rings)S f7(W)s 81920 r(.)s u f9(k)s o 327680 r f7(/)S f2(and)S f7(A)S f2(are)S(isomorphic.)s o y u 946995 r(As)s 200887 W(in)S([)s u(S62)s o 1019740 r(,)S(p.)S(44],)S(let)S f7(f)s 357768 r f3(V)s u 246357 r f9(k)s o 820394 r f3(!)s 246357 r f7(A)S f2(denote)S(the)S(system)S(of)S(multiplicati)s -16384 r(v)s -9831 r(e)S(repre-)s o y u(sentati)s -16384 r(v)s -9831 r(es,)s 210713 W(that)S(is,)S f7(\31)s 47186 r(.f)s 111411 X(.x)s 39321 r(//)s 263416 W f3(D)S f7(x)s 250034 r f2(and)s 210713 r f7(f)T(.x)s 13106 r(y)s 39321 r(/)S f3(D)S f7(f)T(.x)s 39321 W(/f)T(.y)S(/)s 210713 W f2(for)S f7(x)s 39321 r(;)s 109224 r(y)s 302737 r f3(2)s u 263416 r f9(k)s o 591096 r f2(,)S(and)S(thus)s o y u f7(f)s 111411 r(.)s u f9(k)s o 327680 r f7(/)s 187368 W f3(D)S f7(S)s 39321 r f2(.)s 155112 r(The)s 166909 W(follo)s -16384 r(wing)S(easy)S(result)S(on)S f16(Z)s f2(-linear)S(relations)S(among)S(elements)S(of)S f7(S)s 206230 r f2(is)s o y u(decisi)s -16384 r(v)s -9831 r(e.)s o y u 983040 r(Let)s 131126 W f7(k)s 208254 r f3(D)s 182040 X f7(.k)s u 98303 d f13(1)s o 281805 r f7(;)s u 109224 W(:)S(:)S(:)s o 977565 r(;)s 109224 r(k)s u 98303 d f12(n)s o 304218 r f7(/)S f2(be)S(an)S f7(n)s f2(-tuple)S(of)S(inte)s -9831 r(gers,)S(and)S(let)S f7(X)s 201700 r f3(D)T f7(.X)s u 98303 d f13(1)s o 281805 r f7(;)s u 109224 W(:)S(:)S(:)s o 977565 r(;)s 109224 r(X)s u 98303 d f12(n)s o 304218 r f7(/)S f2(be)S(an)s o y u f7(n)s f2(-tuple)s 175713 W(of)S(distinct)S(indeterminates.)S(Gi)s -16384 r(v)s -9831 r(en)S(an)S f7(n)s f2(-tuple)S f7(b)s 215759 r f3(D)s 202652 r f7(.b)s u 98303 d f13(1)s o 281805 r f7(;)s u 109224 W(:)S(:)S(:)s o 977565 r(;)s 109224 r(b)s u 98303 d f12(n)s o 304218 r f7(/)S f2(of)S(elements)s o y u(in)s 163840 W(an)S(abelian)S(\(additi)s -16384 r(v)s -9831 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r f17(:)s o 1344688 Y u 4585375 r f7(k)s 171846 r f3(\1)s 145632 r f7(f)s 111411 r(.x)s 39321 X(/)s 182040 W f3(D)S f2(0)s 185971 r f3(\()s -109224 r(\))S f7(R)s u 98303 d f13(1)s o 281805 r f7(.x)T(/)S f3(D)s u w(\1)s 109224 W(\1)S(\1)s o 1129098 r(D)S f7(R)s u 98303 d f12(N)s o 456628 r f7(.x)T(/)S f3(D)S f2(0)s 3931 r f7(;)s o y u f17(wher)s -24249 r(e)s 163840 r f7(f)s 111411 X(.x)s 39321 r(/)s 182040 W f3(VD)S f7(.f)T(.x)s u 98303 d f13(1)s o 281805 r f7(/;)s u 109224 W(:)S(:)S(:)s o 977565 r(;)s 109224 r(f)T(.x)s u 98303 d f12(n)s o 304218 r f7(/:)s o z U u f17(Pr)s -29492 r(oof)s -9831 r(.)s O 1945107 r f2(By)s 163840 W([)s u(S62)s o 1019740 r(,)S(Prop.)S(9,)S(p.)S(47])S(we)S(ha)s -13108 r(v)s -9831 r(e)S(for)S f7(x)s 221361 r f3(2)s u 182040 r f9(k)s M 509720 r -237895 d f12(n)s o 813938 r f2(:)s o 1897903 d u 6720802 r f7(k)s 171846 r f3(\1)s 145632 r f7(f)s 111411 X(.x)s 39321 r(/)s 182040 W f3(D)s u -826481 d u 391441 r f11(1)s o 826481 d U w -622592 d f10(X)s O 810665 d u 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W(the)S(r)s -24249 X(esidue)S(\felds)S(of)S f20(O)s 189848 r f17(and)S f20(O)s u 18205 r -237895 d f11(0)s o 357096 r f17(by)S(the)S(r)T(esidue)S(class)S(maps)S f20(O)s 213792 r f3(!)s 195587 r f20(O)s 18205 W f7(=)s f8(m)s f7(.)s f20(O)S f7(/)s 171643 r f17(and)s o y u f20(O)s u 18205 r -237895 d f11(0)s o 399059 r f3(!)s 213606 r f20(O)s u 18205 r -237895 d f11(0)s o 185453 W f7(=)s f8(m)s f7(.)s f20(O)s u 18205 r -237895 d f11(0)s o w f7(/)s f17(.)s 182022 W(Let)S f20(L)S f17(be)S(an)S(e)s -13108 r(xtension)S(of)S(the)S(langua)s -6554 W(g)S(e)s 182022 W(of)S(rings,)S(and)S(let)S f7(L)s u -237895 d f11(\3)s o 474286 r f17(and)s o y U f7(L)s u -237895 d f11(0)s O u 619446 r -311610 d(\3)s o 1075550 r f17(be)s 163840 W(e)s -13108 r(xpansions)S(of)S(the)S(rings)S f7(L)S f17(and)S f7(L)s u -237895 d f11(0)s o 331088 r f17(to)S f20(L)s f17(-structur)s -24249 r(es.)s 152043 r(Then)s o 1263679 d u 4220440 r f7(.)s f20(O)s 18205 X f7(;)s 109224 r(L)s u -270663 d f11(\3)s o 292264 r f7(/)s 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f7(0)s 190887 r f2(and)S f7(0)s u 26214 r -237895 d f11(0)s o 358135 r f2(be)S(their)s o y u(v)s -16384 r(alue)s 163840 W(groups)S(as)S(in)S(the)S(theorem.)s o z U u f16(Pr)s -11797 r(oposition.)s O 3720478 r f17(Let)s 133236 W f7(.B)s 37355 r(;)s 109224 X(6)s 32768 r(/)S f17(and)S f7(.B)s u 45875 r -237895 d f11(0)s o 213123 r f7(;)T(6)s u 32768 r -237895 d f11(0)s o 200016 r f7(/)S f17(be)S(models)S(of)S f7(T)s 257754 r f17(suc)s -9831 r(h)S(that)S f7(.B)s 37355 r(;)T(6)s 32768 r(/)s 182040 W f3(\22)S f7(.B)s u 45875 r -237895 d f11(0)s o 213123 r f7(;)T(6)s u 32768 r -237895 d f11(0)s o 200016 r f7(/)s o y u f17(\(so)s 163840 W(ther)s -24249 X(e)S(ar)T(e)S(natur)s -9831 r(al)S(inclusions)s u w f9(k)s o 673560 r f3(\22)s u 182040 r f9(k)s M 509720 r -237895 d f11(0)s o 840808 r f17(and)S f7(0)s 208254 r f3(\22)s 182040 r f7(0)s u 26214 r -237895 d f11(0)s o 193462 r f7(/)s f17(.)s 152043 r(Then)s o 1263679 d u 4927776 r f7(.B)s 37355 r(;)s 109224 X(6)s 32768 r(/)s 182040 W f3(\26)S f7(.B)s u 45875 r -270663 d f11(0)s o 213123 r f7(;)T(6)s u 32768 r -270663 d f11(0)s o 200016 r f7(/)S f3(\()s -109224 r(\))s u w f9(k)s o 691760 r f3(\26)s u w f9(k)s M 509720 r -270663 d f11(0)s M 840808 r f17(and)s o 1987688 r f7(0)s 208254 r f3(\26)S f7(0)s u 26214 r -270663 d f11(0)s o 193462 r f7(:)s o z U u f17(Remark.)s O 2529690 r f2(In)s 189399 W(Lemma)S(1)S(we)S(described)S(the)S f16(Z)s f2(-linear)S(relations)S(among)S(the)S(elements)S(of)s o y u f7(S)s 221361 r f3(\22)s 182040 r f7(A)s f2(.)s 127795 r(Another)s 163840 W(w)s -6554 r(ay)S(to)S(do)S(this,)S(in)S(some)S(respects)S (more)S(illuminating,)S(is)S(as)S(follo)s -16384 r(ws.)s o y u 983040 r(First,)s 257534 W(an)s -9831 X(y)S(root)S(of)S(unity)S(in)S f7(A)S f2(belongs)S(to)S f7(S)s 296855 r f2(and)S(an)T(y)S(tuple)S f7(\20)s 429896 r f3(D)s 344700 r f7(.\20)s u 98303 d f13(1)s o 281805 r f7(;)s u 109224 W(:)S(:)S(:)s o 977565 r(;)s 109224 r(\20)s u 98303 d f12(n)s o 304218 r f7(/)s o y u f2(\()s f7(n)s 319439 W(>)S f2(0)s 3931 r(\))s 242983 W(of)S(roots)S(of)S(unity)S f7(\20)s u 98303 d f12(i)s o 535497 r f3(2)s 319439 r f7(A)S f2(satis\fes)S(non-tri)s -16384 r(vial)S f16(Z)s f2(-linear)S(relations.)s 231186 r(These)s o y u(relations)s 210907 W(produce)S(in)S(certain)S(ob)s -9831 X(vious)S(w)s -6554 r(ays)S(further)S(relations,)S(for)S(e)T(xample,)S(for)S (an)T(y)s o y u f7(s)s 221361 r f3(2)s 182040 r f7(S)s 184953 r f3(n)s 145632 r(f)s f2(0)s 3931 r f3(g)s 163840 W f2(the)S(tuple)S f7(s)s 39321 r(\20)s 249036 r f2(satis\fes)S(the)S(same)S f16(Z)s f2(-linear)S(relations)S(as)S f7(\20)s 85196 r f2(.)s o y u 983040 r(Secondly)s -42599 r(,)s 148765 W(an)S(element)S f7(a)s 211531 r f3(2)s 182040 X f7(A)S f2(belongs)S(to)S f7(S)s 188086 r f2(if)S(and)S(only)S(if)S f7(F)s 91750 r(.a)s 29491 W(/)T f3(D)T f7(a)s u w -237895 d f12(p)s o 384014 r f2(,)s 148765 W(where)S f7(F)s 240515 r f2(is)s o y u(the)s 163840 W(canonical)S(lifting)S(of)S(the)S(Frobenius)S(map)S(to)S (an)S(automorphism)S(of)S f7(A)S f2(\(see)S([)s u(S62)s o 1019740 r(]\).)s O o eop % [24] end % dvidict %%PageTrailer %%Page: 25 5 dvidict begin 25 5 bop % [25] 39560243 d u -39429171 d U U 353894 d 26214 21430272 pr O u f0(Elementary)s 147456 W(theory)S(of)S(rings)S(of)s 129761 r(W)s -23593 r(itt)S(v)s -8848 r(ectors)s M 20840448 r(25)s O o 37463091 d u -35633854 d u 983040 r f2(Using)s 254607 W(this)S(last)S(f)s -6554 r(act)S(one)S(can)S(sho)s -16384 X(w)s -42599 r(,)S(follo)T(wing)S([)s u(H)s o 473170 r(],)S(that)S(all)S f16(Z)s f2(-linear)S(relations)s o 786432 Y u(among)s 168896 W(elements)S(of)S f7(S)s 208217 r f2(arise)S(from)S(the)S f16(Z)s f2(-linear)S(relations)S(among)S(the)S(roots)S(of)S(unity)S (in)s o y u f7(A)s f2(.)s 152043 r(This)s 163840 W(w)s -6554 r(as)S(pointed)S(out)S(to)S(me)S(by)S(Hrusho)s -9831 r(vski.)s o 1769472 d U u -10617 r f15(Ac)s -11797 r(knowledg)s -5899 r(ements.)s O 4957206 r f0(The)s 122710 W(authors)S(wish)S(to)S(thank)S(H.)s 76496 X(Mink)s -5899 r(o)s -14746 r(wski)S(and)S(D.)T(Hilbert)S(for)S(stimulating)s o 655360 Y u(discussions)s 147456 W(and)S(encouragement.)s o 1638400 d u f16(Refer)s -11797 r(ences)s o 1245184 d U u f0([A73])s O 2661611 r(Ax,)s 132540 W(J.:)s 100099 X(A)s 132525 r(metamathematical)S(approach)S(to)S(some)S(problems)S(in)S(number)S (theory)s -38339 r(.)T(AMS)s o y u 2694052 r(Symposium)s 147456 W(\(1973\))S(161\226190)s o y U u([H])s O 2694052 r(Hrusho)s -8848 r(vski,)s 132049 W(E.:)s 121432 r(The)S(Manin-Mumford)S(conjecture)S(and)S(the)S(model)S(theory)S (of)S(dif)s -14746 r(fer)s -11797 r(-)s o y u 2694052 r(ence)s 147456 W(\felds.)S(Preprint)s o y U u([K)s -20644 r(o75])s O 2694052 r(K)s -20644 r(ochen,)s 182442 W(S.:)s 171825 r(The)S(model)S(theory)S(of)S(local)S(\felds.)S(In:)S f15(Lo)s -5899 X(gic)S(Confer)s -21824 r(ence)T(,)S(Kiel)S(1974)s o y u 2694052 r f0(\(Proceedings\),)s 209636 W(Lecture)S(Notes)S(in)S(Mathematics)S f6(499)s f0(,)S(Berlin)S(1975:)S(Springer)s -23593 r(,)S(pp.)s o y u 2694052 r(384\226425)s o y U u([K)s -8848 r(uPr89])s O 2694052 r(K)s -8848 r(uhlmann,)s 156735 W(F)s -47186 r(.-V)s -76088 r(.)S(and)S(Prestel,)s 124294 r(A.:)S(On)S(places)S(of)S(algebraic)S(function)S(\felds.)S (J.)S(reine)s o y u 2694052 r(ange)s -14746 r(w)s -38339 r(.)s 147456 W(Math.)S f6(400)s f0(,)S(185\226202)S(\(1989\))s o y U u([S62])s O 2694052 r(Serre,)s 147456 W(J.-P)s -65471 r(.:)S f15(Corps)S(Locaux)s f0(.)S(P)s -8848 r(aris:)S(Hermann,)S(1962)s O o eop % [25] end % dvidict %%PageTrailer %%Trailer %%EOF