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Timestamp: 2017-07-26 03:10:15+00:00

Document:
Volume 19 (1973): L'ENSEIGNEMENT MATHÉMATIQUE
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 Download as PDF Issue 3-4: L'ENSEIGNEMENT MATHÉMATIQUE
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
17 Download as PDF Back matter

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