Number Theory: Paris 1992–3

doi:10.1017/CBO9780511661990

This is the fourteenth annual volume arising from the Seminaire de Theorie des Nombres de Paris. As with previous volumes the whole spectrum of number theory is discussed, with many contributions from some of the world's leading figures. The very latest research developments are covered and much of the work presented here will not be found elsewhere. Also included are surveys that will serve to guide the reader through the extensive published literature. This will be a necessary addition to the libraries of all workers in number theory.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-vi
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Liste des conférenciers
pp vii-viii
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Dedication
pp ix-x
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1 - Decomposition of the integers as a direct sum of two subsets
pp 1-36
- By Krishnaswami Alladi
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2 - Théorie des motifs et interprétation géométrique des valeurs p-adiques de G-functions (une introduction)
pp 37-60
- By Yves André
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3 - A refinement of the Faltings–Serre method
pp 61-68
- By Nigel Boston
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4 - Sous–variétés algébriques de variétés semi–abéliennes sur un corps fini
pp 69-80
- By John Boxall
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5 - Propriétés transcendantes des fonctions automorphes
pp 81-90
- By Paula Beazley Cohen
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6 - Supersingular primes common to two elliptic curves
pp 91-102
- By E. Fouvry, M. Ram Murty
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7 - Arithmetical lifting and its applications
pp 103-126
- By Valeri Gritsenko
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8 - Towards an arithmetical analysis of the continuum
pp 127-138
- By Glyn Harman
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9 - On Λ-adic forms of half integral weight for SL(2)/ℚ
pp 139-166
- By Haruzo Hida
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10 - Structures algébriques sur les réseaux
pp 167-186
- By Jacques Martinet
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11 - Construction of elliptic units in function fields
pp 187-208
- By Hassan Oukhaba
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12 - Arbres, ordres maximaux et formes quadratiques entières
pp 209-230
- By Isabelle Pays
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13 - On a conjecture that a product of k consecutive positive integers is never equal to a product of mk consecutive positive integers except for 8.9.10 = 6!
pp 231-244
- By T.N. Shorey
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14 - Rédei-matrices and applications
pp 245-260
- By Peter Stevenhagen
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15 - Decomposition of the integers as a direct sum of two subsets
pp 261-276
- By R. Tijdeman
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16 - CM Abelian varieties with almost ordinary reduction
pp 277-291
- By Yuri G. Zarhin
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Number Theory

Paris 1992–3

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Liste des conférenciers
pp vii-viii

Dedication
pp ix-x

1 - Decomposition of the integers as a direct sum of two subsets
pp 1-36

2 - Théorie des motifs et interprétation géométrique des valeurs p-adiques de G-functions (une introduction)
pp 37-60

3 - A refinement of the Faltings–Serre method
pp 61-68

4 - Sous–variétés algébriques de variétés semi–abéliennes sur un corps fini
pp 69-80

5 - Propriétés transcendantes des fonctions automorphes
pp 81-90

6 - Supersingular primes common to two elliptic curves
pp 91-102

7 - Arithmetical lifting and its applications
pp 103-126

8 - Towards an arithmetical analysis of the continuum
pp 127-138

9 - On Λ-adic forms of half integral weight for SL(2)/ℚ
pp 139-166

10 - Structures algébriques sur les réseaux
pp 167-186

11 - Construction of elliptic units in function fields
pp 187-208

12 - Arbres, ordres maximaux et formes quadratiques entières
pp 209-230

13 - On a conjecture that a product of k consecutive positive integers is never equal to a product of mk consecutive positive integers except for 8.9.10 = 6!
pp 231-244

14 - Rédei-matrices and applications
pp 245-260

15 - Decomposition of the integers as a direct sum of two subsets
pp 261-276

16 - CM Abelian varieties with almost ordinary reduction
pp 277-291

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Number Theory

Paris 1992–3

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