E-Periodica Schweizer Zeitschriften online. Revues suisses en ligne. Swiss journals online.

Volume 19 (1973)
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Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
Download as PDF Front matter
Download as PDF Table of Contents
Download as PDF Article: ÉQUATIONS ET VARIÉTÉS ALGÉBRIQUES SUR UN CORPS FINI 1
Download as PDF Chapter: Introduction 1
Download as PDF Abstract: TABLE DES MATIÈRES 3
Download as PDF Chapter: Chapitre Premier CORPS FINIS (RAPPELS) 5
Download as PDF Chapter: §1. Classification des corps finis. 5
Download as PDF Chapter: §2. Groupe additif et groupe multiplicatif d'un corps fini. 6
Download as PDF Chapter: §3. Extensions algébriques d'un corps fini. 8
Download as PDF Chapter: Notes sur le chapitre premier 9
Download as PDF Chapter: Chapitre 2 POLYNÔMES ET IDÉAUX DE POLYNÔMES 10
Download as PDF Chapter: §1. Polynômes réduits et polynômes identiquement nuls 10
Download as PDF Chapter: §2. Fonctions polynomiales. 13
Download as PDF Chapter: §3. Idéaux de polynômes. 14
Download as PDF Chapter: Notes sur le chapitre 2 15
Download as PDF Chapter: Chapitre 3 THÉORÈMES DE CHEVALLEY ET WARNING 16
Download as PDF Chapter: §1. Le théorème de Chevalley- Warning. 16
Download as PDF Chapter: §2. Seconde démonstration du théorème de Chevalley- Warning. 18
Download as PDF Chapter: §3. Le « second » théorème de Warning. 20
Download as PDF Chapter: §4. Polynômes normiques et théorème de Terjanian. 21
Download as PDF Chapter: Notes sur le chapitre 3 24
Download as PDF Chapter: Chapitre 4 ÉQUATIONS DIAGONALES (I) 25
Download as PDF Chapter: §1. Equations diagonales homogènes. 25
Download as PDF Chapter: §2. Sommes de puissances d-ièmes. 27
Download as PDF Chapter: §3. Equations diagonales quelconques. 29
Download as PDF Chapter: §4. Equations multilinéaires. 32
Download as PDF Chapter: Notes sur le chapitre 4 35
Download as PDF Chapter: Chapitre 5 SOMMES DE GAUSS ET DE JACOBI 36
Download as PDF Chapter: §1. Caractères additifs et caractères multiplicatifs d'un corps fini. 36
Download as PDF Chapter: §2. Sommes de Gauss. 41
Download as PDF Chapter: §3. Sommes de Jacobi à deux caractères. 43
Download as PDF Chapter: §4. Sommes de Jacobi à n caractères. 45
Download as PDF Chapter: Notes sur le chapitre 5 51
Download as PDF Chapter: Chapitre 6 ÉQUATIONS DIAGONALES (II) 51
Download as PDF Chapter: §. 1. Equations diagonales sans terme constant. 52
Download as PDF Chapter: §2. Equations diagonales avec terme constant. 55
Download as PDF Chapter: §3. « Exemplis gaudeamus ». 58
Download as PDF Chapter: Notes sur le chapitre 6 61
Download as PDF Chapter: Chapitre 7 THÉORÈME D'AX 62
Download as PDF Chapter: §1. Relations de Stickelberger. 63
Download as PDF Chapter: §2. Démonstration du théorème 1. 67
Download as PDF Chapter: §3. Généralisations et compléments. 71
Download as PDF Chapter: Notes sur le chapitre 7 73
Download as PDF Chapter: Chapitre 8 « HYPOTHÈSE DE RIEMANN » 74
Download as PDF Chapter: §1. Courbes de genre 0 (*). 75
Download as PDF Chapter: §2. Courbes de genre 1. 76
Download as PDF Chapter: §3. Courbes de genre quelconque. 80
Download as PDF Chapter: §4. Variétés de dimension quelconque. 83
Download as PDF Chapter: Notes sur le chapitre 8 88
Download as PDF Chapter: Chapitre 9 FONCTIONS ZÊTA 89
Download as PDF Chapter: §1. Définitions, propriétés élémentaires. 90
Download as PDF Chapter: §2. Rationalité des fonctions zêta 94
Download as PDF Chapter: §3. Fonction zêta d'une courbe projective non singulière, 99
Download as PDF Chapter: §4. Conjectures de Weil. 102
Download as PDF Chapter: §5. Calcul explicite de certaines fonctions zêta. 106
Download as PDF Chapter: Notes sur le chapitre 9 112
Download as PDF Bibliography 113
Download as PDF Article: ERWEITERUNGSKÖRPER VON PRIMZAHLGRAD MIT DURCH DIESE PRIMZAHL TEILBARER KLASSENZAHL 119
Download as PDF Article: SUR LE CONTRÔLE OPTIMAL DE SYSTÈMES DISTRIBUÉS 125
Download as PDF Chapter: 1. Introduction 125
Download as PDF Chapter: 2. Problèmes d'existence 129
Download as PDF Chapter: 2.1. Un problème de contrôle dans les coefficients 129
Download as PDF Chapter: 2.2. Un contre exemple 130
Download as PDF Chapter: 2.3. Un résultat général d'existence 132
Download as PDF Chapter: 2.4. Application au problème de contrôle dans les coefficients 133
Download as PDF Chapter: 3. Cas linéaire quadratique — Remarques sur le système d'optimalité 134
Download as PDF Chapter: 3.1. Un système hyperbolique 134
Download as PDF Chapter: 3.2. Système d'optimalité 135
Download as PDF Chapter: 3.3. Propriétés de comparaison 138
Download as PDF Chapter: 3.4. Cas sans contrainte — Equation intégro-différentielle de Riccati 140
Download as PDF Chapter: 4. Equations d'état non linéaires 144
Download as PDF Chapter: 4.1. Cas différentiable 144
Download as PDF Chapter: 4.2. Cas non différentiable 147
Download as PDF Chapter: Remarque 4.3. 147
Download as PDF Chapter: 5. Phénomènes de perturbations singulières 148
Download as PDF Chapter: 5.1. Orientations 148
Download as PDF Chapter: 5.2. Cas d'un système linéaire 149
Download as PDF Chapter: 5.3. Cas d'un système non linéaire 153
Download as PDF Chapter: 5.4. Remarques sur certains problèmes elliptiques non linéaires non homogènes 155
Download as PDF Chapter: 6. Problèmes de gestion optimale et inéquations variationnelles 157
Download as PDF Chapter: 6.1. Un problème de gestion optimale 157
Download as PDF Chapter: 6.2. Réduction à une inéquation quasi variationnelle d'évolution 159
Download as PDF Chapter: 6.3. Problèmes de temps d'arrêt optimal 163
Download as PDF Bibliography 164
Download as PDF Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE 167
Download as PDF Article: SUMMARY OF THE SECOND INTERNATIONAL CONGRESS ON MATHEMATICAL EDUCATION 167
Download as PDF Chapter: SYMPOSIA 171
Issue 3-4: L'ENSEIGNEMENT MATHÉMATIQUE
Download as PDF Front matter
Download as PDF Table of Contents
Download as PDF Article: AN ELEMENTARY PROOF THAT ELLIPTIC CURVES ARE ABELIAN VARIETIES 173
Download as PDF Chapter: § 1. Elliptic curves and plane cubics 173
Download as PDF Chapter: § 2. Algebraic and geometric group laws on an elliptic curve 174
Download as PDF Chapter: § 3. Elliptic curves and abelian varieties 176
Download as PDF Chapter: § 4. Uniqueness of the group law 180
Download as PDF Bibliography 181
Download as PDF Article: HILBERT MODULAR SURFACES 183
Download as PDF Abstract: Table of Contents 183
Download as PDF Chapter: §0. Introduction and preparatory material 183
Download as PDF Chapter: §1. The Hilbert modular group and the Euler number of its orbit space 187
Download as PDF Chapter: §2. The cusps and their resolution for the 2-dimensional case 200
Download as PDF Chapter: §3. NUMERICAL INVARIANTS OF SINGULARITIES AND OF HILBERT MODULAR SURFACES 220
Download as PDF Chapter: §4. Curves on the Hilbert modular surfaces AND PROOFS OF RATIONALITY 243
Download as PDF Chapter: §5. The symmetric Hilbert modular group for primes p ≡ 1 mod 4 261
Download as PDF Bibliography 278
Download as PDF Article: ASYMPTOTIC PROPERTIES OF LINEAR OPERATORS 283
Download as PDF Chapter: 1. Positive and regular linear operators. 283
Download as PDF Chapter: 2. Boundedness and convergence preserving regular operators. 288
Download as PDF Chapter: 3. Transformations of 0-regular and slowly varying functions by regular operators. 290
Download as PDF Chapter: 4. Proofs. 293
Download as PDF Bibliography 307
Download as PDF Article: AN INTEGRAL INEQUALITY IN ANALYTIC FUNCTION THEORY 309
Download as PDF Bibliography 312
Download as PDF Article: FINITE GROUPS AND DIVISION ALGEBRAS 313
Download as PDF Bibliography 326
Download as PDF Rubric: BULLETIN BIBLIOGRAPHIQUE 1
Download as PDF Rubric: BULLETIN BIBLIOGRAPHIQUE 17
Download as PDF Back matter