Arithmetic over the rings of all algebraic integers.

Robert S. Rumely

Journal für die reine und angewandte Mathematik (1986)

  • Volume: 368, page 127-133
  • ISSN: 0075-4102; 1435-5345/e

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Rumely, Robert S.. "Arithmetic over the rings of all algebraic integers.." Journal für die reine und angewandte Mathematik 368 (1986): 127-133. <http://eudml.org/doc/152840>.

@article{Rumely1986,
author = {Rumely, Robert S.},
journal = {Journal für die reine und angewandte Mathematik},
keywords = {rational points of affine variety; Hasse principle; ring of all algebraic integers; capacity theory on algebraic curves; completely valued algebraically closed fields; Hilbert's tenth problem; decision procedure for diophantine equations},
pages = {127-133},
title = {Arithmetic over the rings of all algebraic integers.},
url = {http://eudml.org/doc/152840},
volume = {368},
year = {1986},
}

TY - JOUR
AU - Rumely, Robert S.
TI - Arithmetic over the rings of all algebraic integers.
JO - Journal für die reine und angewandte Mathematik
PY - 1986
VL - 368
SP - 127
EP - 133
KW - rational points of affine variety; Hasse principle; ring of all algebraic integers; capacity theory on algebraic curves; completely valued algebraically closed fields; Hilbert's tenth problem; decision procedure for diophantine equations
UR - http://eudml.org/doc/152840
ER -

Citations in EuDML Documents

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  1. Laurent Moret-Bailly, Groupes de Picard et problèmes de Skolem. I
  2. Laurent Moret-Bailly, Groupes de Picard et problèmes de Skolem. II
  3. Pascal Autissier, Points entiers et théorèmes de Bertini arithmétiques
  4. Michel Matignon, Genre et genre résiduel des corps de fonctions valués
  5. Marc Polzin, Prolongement de la valeur absolue de Gauss et problème de Skolem
  6. Jean-Benoît Bost, Gerard Freixas i Montplet, Semi-abelian Schemes and Heights of Cycles in Moduli Spaces of abelian Varieties
  7. Barry Green, Recent results in the theory of constant reductions

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