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Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
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Front matter
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Table of Contents
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Front matter
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Index
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Front matter
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Article
CAUCHY RESIDUES AND DE RHAM HOMOLOGY
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1
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Chapter
1. Compact chains
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1
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Chapter
2. Biduality
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3
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Chapter
3. Smooth singular homology
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5
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Chapter
4. Relative de Rham homology
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7
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Chapter
5. Stokes formula
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9
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Chapter
6. POINCARÉ DUALITY
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10
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Chapter
7. WINDING NUMBERS
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12
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Chapter
8. Cauchy's residue theorem
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15
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Bibliography
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17
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Article
REPRESENTATION OF EVERY RATIONAL NUMBER AS AN ALGEBRAIC SUM OF FIFTH POWERS OF RATIONAL NUMBERS
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19
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Bibliography
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20
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Article
KNOTTING CODIMENSION 2 SUBMANIFOLDS LOCALLY
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21
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Chapter
Introduction
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21
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Chapter
§1. General remarks on $I_0(M,L)$
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22
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Chapter
§2. Type 1 case
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25
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Chapter
§3. Type 2 case
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27
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Chapter
§4. An improvement
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29
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Chapter
§5. Type 3 case
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35
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Bibliography
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39
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Article
THE CANTOR SET AND A GEOMETRIC CONSTRUCTION
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41
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Chapter
Introduction
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41
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Chapter
THE GEOMETRIC CONSTRUCTION
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41
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Chapter
Cantor sets of continued fractions
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48
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Bibliography
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49
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Article
ON THE POSITIVE LINEAR FUNCTIONALS ON THE DISC ALGEBRA
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51
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Chapter
1. Introduction
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51
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Chapter
2. Proof of the theorem
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52
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Bibliography
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54
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Article
REMARK ON MEROMORPHIC DIFFERENTIALS IN OPEN RIEMANN SURFACES
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55
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Bibliography
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59
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Article
RÉPARTITION DES VALEURS DE LA FONCTION D'EULER
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61
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Chapter
1. Introduction et présentation des résultats
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61
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Chapter
2. Lemmes préliminaires
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63
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Chapter
3. DÉMONSTRATION DE LA PROPOSITION
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64
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Bibliography
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76
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Article
HURWITZ-RADON MATRICES AND PERIODICITY MODULO 8
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77
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Chapter
0. Introduction
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77
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Chapter
1. The groups $G_s$ and their representations
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79
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Chapter
2. The reduced ε-representation ring
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81
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Chapter
3. The homotopy groups of U and 0
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84
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Chapter
4. Symplectic HR-matrices
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88
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Chapter
5. Linearization
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91
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Bibliography
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91
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Article
LIE BRACKET AND CURVATURE
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93
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Bibliography
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97
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Article
LE THÉORÈME DE BURNSIDE SUR LE COMPTAGE DES ORBITES ET QUELQUES APPLICATIONS
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99
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Chapter
1. Introduction
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99
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Chapter
2. DÉMONSTRATION DU THEOREME DE BURNSIDE
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99
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Chapter
3. Un théorème de Galois
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100
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Chapter
4. L'indicateur des cycles
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102
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Chapter
5. Le théorème d'énumération de Pôlya
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103
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Chapter
6. Classification des colorations
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104
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Bibliography
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106
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Article
THE FIXED POINT SET OF A FINITE GROUP ACTION ON A HOMOLOGY FOUR SPHERE
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107
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Chapter
1. Introduction
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107
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Chapter
2. STATEMENT OF THE RESULT
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108
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Chapter
3. Solvable groups
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109
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Chapter
4. Non solvable groups
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111
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Chapter
5. LOCALLY LINEAR REPRESENTATION
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113
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Appendix
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115
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Bibliography
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116
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Article
LA CONSTRUCTION FONDAMENTALE DE V. JONES ET LA PÉRIODICITÉ DES ALGÈBRES DE CLIFFORD
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117
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Chapter
§0. Introduction
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117
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Chapter
§1. Algèbres de Clifford
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118
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Chapter
§2. Valeurs de l'indice
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121
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Bibliography
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124
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Article
CONTRIBUTION À L'ÉTUDE D'UNE CONJECTURE DE THÉORIE DES NOMBRES PAR LE CODAGE ZBV
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125
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Abstract
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125
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Chapter
§1. Introduction
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126
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Chapter
§2. Préliminaires de théorie des nombres
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130
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Chapter
§3. Préliminaires de logique
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142
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Chapter
§4. Autour du problème de J. Robinson
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148
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Chapter
§5. La méthode de codage ZBV et le problème de J. Robinson
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156
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Chapter
§6. L'ÉGALITÉ ET LE PROBLEME DE J. ROBINSON
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168
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Chapter
§7. DÉFINISSABILITÉ PAR SUCCESSEUR, COPRIMARITÉ ET RÉSIDUATION QUADRATIQUE
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177
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Chapter
§8. DÉFINISSABILITÉ PAR SUCCESSEUR, COPRIMARITÉ ET LA RELATION BINAIRE « y EST UNE PUISSANCE DE x »
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179
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Chapter
§9. DÉFINISSABILITÉ PAR SUCCESSEUR, COPRIMARITÉ ET RESTRICTIONS DE L'ADDITION, DE LA MULTIPLICATION OU DE LA DIVISION
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181
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Chapter
§10. Conclusion
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186
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Bibliography
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188
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Article
AN ELEMENTARY PROOF OF A THEOREM ON QUADRATIC FORMS OVER THE RATIONAL NUMBERS
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191
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Chapter
Introduction
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191
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Chapter
§1. Reductions to prove the Main Theorem
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192
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Chapter
§2. The proof of Theorem 1.7
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196
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Chapter
§3. Consequences of the Main Theorem
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201
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Bibliography
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202
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Article
TRANSPORT PARALLÈLE ET TRAÎNÉE
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203
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Chapter
0. Introduction
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203
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Chapter
1. Une interprétation hydrodynamique du parallélisme de Levi-Civita
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203
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Chapter
2. Energie cinétique et courbure
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206
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Bibliography
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208
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Article
AN ALGEBRAIC PROOF OF VAN DER WAERDEN'S THEOREM
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209
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Chapter
1. Semigroup properties of βN
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210
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Chapter
2. Minimal left ideals in right topological semigroups
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212
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Chapter
3. Van der Waerden's Theorem
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213
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Bibliography
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215
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Article
SIMPLE NASH-MOSER IMPLICIT FUNCTION THEOREM
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217
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Chapter
Application to the local isometric embedding of a Riemannian manifold
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224
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Appendix
Appendix : Construction of the Smoothing Operators in Sobolev Spaces
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225
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Bibliography
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226
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Article
QUELQUES PROBLÈMES NON RÉSOLUS EN GÉOMÉTRIE PLANE
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227
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Chapter
1. Quels sont les polygones qui pavent le plan?
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228
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Chapter
2. Périodicité
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233
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Chapter
3. Applications
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239
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Bibliography
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242
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Bibliography
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243
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Article
GÉNÉRALISATIONS DU PREMIER THÉORÈME DE BIEBERBACH SUR LES GROUPES CRISTALLOGRAPHIQUES
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245
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Chapter
Introduction
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245
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Chapter
1. Dans $Aff(R^n)$
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246
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Chapter
2. Dans d'autres groupes de Lie
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250
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Chapter
3. Le théorème de Bieberbach Lorentzien
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253
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Chapter
4. Quelques autres généralisations
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258
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Bibliography
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261
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Article
ZETA FUNCTIONS AND GENUS OF QUADRATIC FORMS
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263
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Chapter
§1. Gauss sums and equivalence of quadratic forms
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265
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Chapter
§2. Local representation masses and $Z_p$-equivalence OF FORMS
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270
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Chapter
§3. Local reprsentation masses and $Q_p$-equivalence of forms
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274
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Chapter
§4. Adelic representation masses
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278
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Chapter
§5. Representation masses in Z
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280
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Bibliography
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287
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Article
THE TOWER OF HANOI
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289
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Chapter
0. Introduction
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289
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Chapter
1. Regular states
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293
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Chapter
2. IRREGULAR STATES
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309
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Chapter
3. Open problems
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318
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Bibliography
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319
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Article
COMPOSITION PRODUCTS AND MODELS FOR THE HOMFLY POLYNOMIAL
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323
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Abstract
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323
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Abstract
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323
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Chapter
1. Introduction
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323
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Chapter
2. The composition product of homfly polynomials
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325
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Chapter
3. The specified composition product for closed braids
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347
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Chapter
4. CONCLUDING REMARKS
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359
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Bibliography
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360
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Article
ON CHERN CLASSES OF FINITE GROUP REPRESENTATIONS
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363
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Chapter
Section 1. Proof of Theorem 2
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367
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Chapter
Section 2. Proof of Theorem 4
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369
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Chapter
Section 3. Proof of Theorem 5
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371
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Chapter
Section 4. Chern classes for locally finite groups
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372
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Bibliography
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373
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Article
ON SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS
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375
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Abstract
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375
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Rubric
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376
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Bibliography
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381
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Rubric
BULLETIN BIBLIOGRAPHIQUE
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1
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Rubric
BULLETIN BIBLIOGRAPHIQUE
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25
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Issue 3-4: L'ENSEIGNEMENT MATHÉMATIQUE
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Front matter
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Chapter
TABLE ALPHABÉTIQUE DES AUTEURS
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1
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Back matter
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Back matter
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Back matter
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