Arithmetic over the rings of all algebraic integers.
Journal für die reine und angewandte Mathematik (1986)
- Volume: 368, page 127-133
- ISSN: 0075-4102; 1435-5345/e
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topRumely, 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
top- Laurent Moret-Bailly, Groupes de Picard et problèmes de Skolem. I
- Laurent Moret-Bailly, Groupes de Picard et problèmes de Skolem. II
- Pascal Autissier, Points entiers et théorèmes de Bertini arithmétiques
- Michel Matignon, Genre et genre résiduel des corps de fonctions valués
- Marc Polzin, Prolongement de la valeur absolue de Gauss et problème de Skolem
- Jean-Benoît Bost, Gerard Freixas i Montplet, Semi-abelian Schemes and Heights of Cycles in Moduli Spaces of abelian Varieties
- Barry Green, Recent results in the theory of constant reductions
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