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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
OPÉRATIONS D'ADAMS EN THÉORIE DES REPRÉSENTATIONS LINÉAIRES DES GROUPES FINIS
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1
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Chapter
§1. L'anneau des représentations virtuelles.
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2
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Chapter
§2. Puissances extérieures
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8
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Chapter
§3. DÉFINITION DES OPÉRATIONS D'ADAMS.
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11
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Chapter
§4. Propriétés élémentaires des opérations d'adams.
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14
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Chapter
§5. Action de $\Psi_n$ dans le groupe des classes de projectifs
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18
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Article
THE LIE BRACKET AND THE CURVATURE TENSOR
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29
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Chapter
1. Introduction
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29
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Chapter
2. The Lie Bracket
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29
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Chapter
3. A Particular Case
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31
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Chapter
4. The Curvature Tensor
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32
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Bibliography
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34
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Article
SUR UN FEUILLETAGE DE $R^3$
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35
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Chapter
Branchements de plans — Variétés régulières
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35
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Chapter
Feuilletages polynômiaux et transverses et feuilletages de type image-réciproque
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37
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Chapter
Exemple de feuilletage P & T de $R^3$ qui n'est pas de type image-réciproque
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38
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Bibliography
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40
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Article
APPLICATIONS POLYNÔMIALES DE DEGRÉ DEUX DU PLAN PROJECTIF COMPLEXE DANS LUI-MÊME
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41
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Chapter
1. Applications génériques de $PC^m$ dans $PC^n$
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41
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Chapter
2. Une coïncidence
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43
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Chapter
3. Classification
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48
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Chapter
4. Groupes d'isotropie
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52
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Bibliography
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54
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Article
ON THE VALUES AT NEGATIVE INTEGERS OF THE ZETA-FUNCTION OF A REAL OUADRATIC FIELD
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55
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Chapter
§0. Introduction
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55
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Chapter
§1. Siegel's Formula
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57
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Chapter
§2. Zeta-functions of Quadratic Fields
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63
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Chapter
§3. The Siegel Formula for Quadratic Fields
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66
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Chapter
§4. The Circle Method and the Numbers $e_{2m-1}(n)$
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75
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Chapter
§5. CONGRUENCES FOR THE HECKE-EISENSTEIN SERIES
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88
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Afterword
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92
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Bibliography
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95
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Article
RÔLE, PLACE, ET CONTENU D'UN PREMIER ENSEIGNEMENT DÉDUCTIF DES PROBABILITÉS
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97
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Chapter
1. Question d'existence
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97
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Chapter
2. L'ÉPOQUE CONVENABLE
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100
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Chapter
3. Esquisse d'un contenu
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100
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Chapter
4. Étude d'un exemple
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109
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Chapter
5. Variables aléatoires
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113
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Chapter
6. Introduction a la statistique
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115
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Bibliography
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119
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Article
BOUNDARY VALUE CHARACTERIZATION OF WEIGHTED $H^1$
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121
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Abstract
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121
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Chapter
§1. Introduction
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121
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Chapter
§2. Preliminary results
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125
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Chapter
§3. Proof of Theorems 1 and 3
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130
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Bibliography
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133
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Article
SUPERDIAGONALIZATION AND REAL NORMAL OPERATORS
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135
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Bibliography
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139
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Article
SUMMABILITY OF SINGULAR VALUES OF $L^2$ KERNELS. ANALOGIES WITH FOURIER SERIES
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141
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Chapter
1. Introduction
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141
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Chapter
2. Fourier Séries Results
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143
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Chapter
3. Preliminaries
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149
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Chapter
4. Growth Estimates for Singular Values
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150
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Chapter
5. ACKNOWLEDGEMENT
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155
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Bibliography
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155
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Rubric
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158
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Article
SIMPLE FORMULA CONCERNING MULTIPLICATIVE REDUCTION OF ELLIPTIC CURVES
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161
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Chapter
§1. Introduction
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161
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Chapter
§2. The case p= 2
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164
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Chapter
§3. The case p = 3
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165
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Chapter
§4. The case p≥5
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166
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Chapter
§5. Examples
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169
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Bibliography
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170
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Article
NOTE SUR LE THÉORÈME DES TROIS CARRÉS
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171
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Bibliography
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173
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Article
GENERALIZZAZIONE DEL TEOREMA DI WILSON ALLE TERNE PRIME
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175
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Abstract
RÉSUMÉ
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175
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Rubric
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176
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Bibliography
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184
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Article
HOW TO USE RUNGE'S THEOREM
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185
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Bibliography
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189
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Article
FINITE GEOMETRIES IN THE THEORY OF THETA CHARACTERISTICS
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191
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Chapter
INTRODUCTION
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191
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Chapter
I. THETA CHARACTERISTICS ON AN ALGEBRAIC CURVE
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191
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Chapter
§0 Review: quadratic forms in characteristic 2
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191
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Chapter
§1 Theta characteristics
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194
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Chapter
§2 Relation with the classical notation
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196
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Chapter
§3 Some special cases
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200
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Chapter
II. THE ABSTRACT THEORY OF CHARACTERISTICS
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203
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Chapter
§1 Symplectic torsors
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203
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Chapter
§2 FINITE GEOMETRIES ON SETS OF CHARACTERISTICS
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206
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Chapter
§3 Symplectic torsors defined by finite sets
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211
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Chapter
§4 Basis and fundamental sets
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214
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Bibliography
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218
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Article
DIRECTIONAL CLUSTER SET EXAMPLE
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219
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Chapter
§0. Introduction
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219
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Chapter
§1. (1/2)-TRAPEZOIDS AND THEIR FOUR DESCENDANTS
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219
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Chapter
§2. Kahane's set $K_\xi$.
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221
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Chapter
§3. Proof of Theorem 1
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223
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Chapter
§4. An Essential Cluster Set Example
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224
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Bibliography
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225
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Article
DIVISIBILITÉ DE CERTAINES FONCTIONS ARITHMÉTIQUES
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227
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Abstract
TABLE DES MATIÈRES
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227
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Chapter
§1. ENSEMBLES DE NOMBRES PREMIERS
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228
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Chapter
§2. THÉORÈMES DE DENSITÉ
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230
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Chapter
§3. PREMIERS EXEMPLES
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236
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Chapter
§4. EXEMPLES MODULAIRES
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239
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Chapter
§5. DIVISIBILITÉ DES COEFFICIENTS DE j
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245
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Chapter
§6. EXERCICES
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249
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Bibliography
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259
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Article
CLASSICAL THEOREMS ON QUADRATIC RESIDUES
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261
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Chapter
1. Introduction
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261
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Chapter
2. Notation and preliminary results
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264
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Chapter
3. Dirichlet's fundamental theorems
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266
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Chapter
4. SUMS OVER INTERVALS OF LENGTH k/3.
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272
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Chapter
5. SUMS OVER INTERVALS OF LENGTH k/5.
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274
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Chapter
6. Sums over intervals of length k/6.
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278
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Chapter
7. SUMS OVER INTERVALS OF LENGTH k/8.
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280
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Chapter
8. Sums over intervals of length h/10.
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283
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Chapter
9. SUMS OVER INTERVALS OF LENGTH k/12.
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285
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Chapter
10. SUMS OVER INTERVALS OF LENGTH k/16
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288
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Chapter
11. SUMS OVER INTERVALS OF LENGTH k/24.
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289
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Chapter
12. Sums over several intervals of equal length
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293
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Chapter
13. Sums of quadratic residues and nonresidues
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297
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Chapter
14. SOME QUESTIONS AND PROBLEMS
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300
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Bibliography
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302
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Article
FACTORISATION SUR UN CORPS FINI $F_{p^n}$ DES POLYNÔMES COMPOSÉS $f(X^s)$ LORSQUE f(X) EST UN POLYNÔME IRRÉDUCTIBLE DE $F_{p^n}[X]$
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305
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Bibliography
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312
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Article
THE INFINITUDE OF PRIMES; A PROOF USING CONTINUED FRACTIONS
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313
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Chapter
1. Introduction
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313
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Chapter
2. Continued Fractions
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314
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Chapter
3. The Basic Result
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315
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Bibliography
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316
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Article
3e CONGRÈS INTERNATIONAL SUR L'ENSEIGNEMENT DES MATHÉMATIQUES KARLSRUHE, 16-21 AOÛT 1976
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317
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Chapter
1. LES COMPOSANTES DU PROGRAMME
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317
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Chapter
2. LES PRINCIPAUX THÈMES ABORDÉS AU CONGRÈS
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319
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Rubric
BULLETIN BIBLIOGRAPHIQUE
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1
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Rubric
BULLETIN BIBLIOGRAPHIQUE
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37
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Back matter
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Back matter
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