SUR LA FONCTION: NOMBRE DE FACTEURS PREMIERS DE N

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Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
Front matter PDF
Table of Contents PDF
Front matter PDF
Index PDF
Front matter PDF
Front matter PDF	1
Article SUR LA FONCTION: NOMBRE DE FACTEURS PREMIERS DE N PDF	3
Abstract PDF	3
Chapter Introduction PDF	3
Chapter §1. DÉMONSTRATION DU THÉORÈME 1 PDF	6
Chapter §2. DÉMONSTRATION DU THÉORÈME 2 PDF	10
Chapter §3. Valeurs extrêmes de f(n) + f(n +1) PDF	12
Chapter §4. Nombres ω-intéressants PDF	17
Chapter §5. DÉMONSTRATION DU THÉORÈME 4 PDF	19
Bibliography PDF	25
Article THE HYPER-KLOOSTERMAN SUM PDF	29
Chapter 1. Introduction PDF	29
Chapter 2. Lemmas PDF	30
Chapter 3. Proof of Theorems 1 and 2 PDF	32
Bibliography PDF	40
Article THÉORÈMES DE GAUSS-BONNET, DE HOPF, ET RÉSIDUS DES CONNEXIONS MÉTRIQUES A SINGULARITÉS PDF	41
Chapter 1. Introduction PDF	41
Chapter 2. Connexions métriques sur une surface (Rappels) PDF	43
Chapter 3. Résidus et formule locale de Gauss-Bonnet PDF	45
Chapter 4. Théorème des résidus PDF	47
Chapter 5. Connexions métriques sans singularités PDF	48
Chapter 6. Connexions métriques plates a singularités isolées PDF	50
Bibliography PDF	55
Article SCHUBERT CALCULUS OF A COXETER GROUP PDF	57
Chapter Introduction PDF	57
Chapter 1. Coxeter groups PDF	59
Chapter 2. Demazure's basis theorem PDF	63
Chapter 3. GIAMBELLI FORMULA PDF	66
Chapter 4. Pieri formula PDF	71
Chapter 5. $H_w$ AS A AND PARABOLICS PDF	74
Chapter 6. Application: The combinatorics of the classical Pieri formula PDF	76
Bibliography PDF	83
Article SPECKER'S MATHEMATICAL WORK FROM 1949 TO 1979 PDF	85
Chapter From doctorate to professorship PDF	87
Chapter Enjoyment of interaction PDF	88
Chapter Topology and recursive analysis PDF	88
Chapter An example of beginning with concrete problems PDF	89
Chapter Logic and quantum mechanics PDF	90
Chapter Typical ambiguity and model theory PDF	92
Chapter Complexity of algorithms PDF	94
Chapter Specker's Mathematical Publications (1949-79) PDF	96
Article TOWARDS A COMPLEXITY THEORY OF SYNCHRONOUS PARALLEL COMPUTATION PDF	99
Abstract PDF	99
Chapter 1. Introduction PDF	99
Chapter 2. Circuits and Alternating Turing Machines PDF	102
Chapter 3. Log Depth vs Log Space PDF	109
Chapter 4. Conglomerates and Aggregates PDF	111
Chapter 5. Hardware Modification Machines PDF	116
Chapter 6. Other Modifiable Models PDF	117
Chapter 7. Simultaneous Resource Bounds PDF	118
Chapter 8. Open Questions PDF	122
Bibliography PDF	123
Article ZUR AXIOMATISIERUNG GEWISSER AFFINER GEOMETRIEN PDF	125
Chapter 1. EINFÜHRUNG UND PROBLEMSTELLUNG PDF	125
Chapter 2. Beweis der Charakterisierungslemmas PDF	128
Chapter 3. Die Nicht-Charakterisierbarkeit PDF	132
Chapter 4. SCHLUSSBEMERKUNGEN PDF	134
Bibliography PDF	135
Article ALTERNATION AND THE ACKERMANN CASE OF THE DECISION PROBLEM PDF	137
Abstract PDF	137
Chapter 1. Introduction and historical background PDF	137
Chapter 2. Some notions from logic PDF	141
Chapter 3. Some notions from computational complexity PDF	142
Chapter 4. Alternating Turing machines PDF	144
Chapter 5. Upper bounds PDF	147
Chapter 6. Lower bounds PDF	154
Chapter Conclusions PDF	159
Chapter Acknowledgment PDF	160
Bibliography PDF	160
Article PROBLEMS AND RESULTS ON FINITE AND INFINITE COMBINATORIAL ANALYSIS II PDF	163
Article HOMÉOMORPHIE DES ROTATIONS DE $S^m$ ÉVOLUTION D'UN PROBLÈME, SOUVENIRS PDF	177
Bibliography PDF	183
Article THE RIEMANN-ROCH THEOREM FOR COMPACT RIEMANN SURFACES PDF	185
Chapter §1. Introduction PDF	185
Chapter §2. Line bundles and vector bundles. Sheaf theoretic preliminaries PDF	185
Chapter §3. RIEMANN-ROCH THEOREM (PRELIMINARY FORM) PDF	189
Chapter §4. The degree of the canonical line bundle PDF	191
Chapter §5. RIEMANN-ROCH THEOREM (FINAL FORM). SERRE DUALITY PDF	193
Bibliography PDF	196
Article IDENTITIES FOR PRODUCTS OF GAUSS SUMS OVER FINITE FIELDS PDF	197
Chapter 1. Introduction PDF	197
Chapter 2. Notation and the identities PDF	198
Chapter 3. Theorems of Stickelberger and Davenport-Hasse PDF	200
Chapter 4. Proof of (2) PDF	200
Chapter 5. Proof of (3) PDF	201
Chapter 6. Proof of (4) PDF	204
Chapter 7. Proof of (5) PDF	206
Chapter 8. Character sum analogues of (1), (1a) and (1b) PDF	207
Bibliography PDF	209
Article ON THE GENUS OF GENERALIZED FLAG MANIFOLDS PDF	211
Chapter Introduction PDF	211
Chapter §1. Genus and self maps PDF	213
Chapter §2. The case of generalized flag manifolds PDF	216
Bibliography PDF	219
Article SUR L'USAGE DE CRITÈRES POUR RECONNAÎTRE UN GROUPE LIBRE, UN PRODUIT AMALGAMÉ OU UNE HNN-EXTENSION PDF	221
Chapter Introduction PDF	221
Chapter 2. DÉFINITIONS ET GÉNÉRALITÉS SUR LES ACTIONS DE GROUPES ET LES GRAPHES PDF	222
Chapter 3. Critère pour groupes libres PDF	225
Chapter 4. Critères pour produits amalgamés PDF	230
Chapter 5. Critère pour les HNN-extensions PDF	232
Chapter 6. Structures bipolaires PDF	236
Bibliography PDF	242
Article LOCALLY HOMOGENEOUS VARIATIONS OF HODGE STRUCTURE PDF	243
Chapter Introduction PDF	243
Abstract TABLE OF CONTENTS PDF	246
Chapter §1. Preliminaries PDF	246
Chapter §2. Vector bundles on Γ\M PDF	250
Chapter §3. The cohomology groups $H^n(\Gamma; \rho, V)$ PDF	254
Chapter §4. The variation of Hodge structure associated to (ρ, V) PDF	261
Chapter §5. Hodge theory for $H^n(\Gamma; \rho, V)$, FROM THE VARIATION OF HODGE STRUCTURE PDF	264
Bibliography PDF	276
Article APPLICATION OF TOPOLOGY TO PROBLEMS ON SUMS OF SQUARES PDF	277
Bibliography PDF	283
Article FINITENESS THEOREMS IN GEOMETRIC CLASSFIELD THEORY PDF	285
Chapter 0. Introduction PDF	285
Chapter II. Preliminaries PDF	288
Chapter II. The Main theorem PDF	294
Chapter III. A VARIANT PDF	306
Chapter IV. Absolute Finiteness theorems PDF	311
Chapter V. Application to l-adic representations PDF	312
Bibliography PDF	314
Article APPENDIX: TORSION POINTS OF ABELIAN VARIETIES IN CYCLOTOMIC EXTENSIONS PDF	315
Bibliography PDF	319
Article ON COUSIN-I COMPLEX SPACES PDF	321
Abstract Summary PDF	321
Rubric PDF	322
Bibliography PDF	325
Article DESCARTES, EULER, POINCARÉ, PÓLYA—AND POLYHEDRA PDF	327
Chapter 1. Introduction PDF	327
Chapter 2. Pólya's proof of Descartes' theorem PDF	331
Chapter 3. The angular defect in higher dimensions PDF	335
Chapter 3. Historical comment and summary PDF	342
Bibliography PDF	343
Rubric COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE PDF	345
Chapter FIFTH INTERNATIONAL CONGRESS ON MATHEMATICS EDUCATION PDF	345
Article INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION, 1980-81 PDF	347
Chapter 1. THE PRESIDENT'S REPORT PDF	347
Chapter 2. ICME iv PDF	348
Chapter 3. BULLETIN OF ICMI PDF	350
Chapter 4. FUTURE ACTIVITIES PDF	350
Rubric BULLETIN BIBLIOGRAPHIQUE PDF	1
Rubric BULLETIN BIBLIOGRAPHIQUE PDF	57
Back matter PDF

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