@article{RSMUP_1984__71__229_0, author = {Ribenboim, Paulo}, title = {Remarks on existentially closed fields and diophantine equations}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {229--237}, publisher = {Seminario Matematico of the University of Padua}, volume = {71}, year = {1984}, mrnumber = {769439}, zbl = {0545.12012}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1984__71__229_0/} }
TY - JOUR AU - Ribenboim, Paulo TI - Remarks on existentially closed fields and diophantine equations JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1984 SP - 229 EP - 237 VL - 71 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1984__71__229_0/ LA - en ID - RSMUP_1984__71__229_0 ER -
%0 Journal Article %A Ribenboim, Paulo %T Remarks on existentially closed fields and diophantine equations %J Rendiconti del Seminario Matematico della Università di Padova %D 1984 %P 229-237 %V 71 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1984__71__229_0/ %G en %F RSMUP_1984__71__229_0
Ribenboim, Paulo. Remarks on existentially closed fields and diophantine equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 71 (1984), pp. 229-237. http://www.numdam.org/item/RSMUP_1984__71__229_0/
[1] Model Theory of Fields, Decidability and Bounds for Polynomial Ideals, Thesis, University of Utrecht, 1978.
,[2] On Fermat's equation in C(t), Amer. Math. Monthly, 76 (1969), pp. 808-809. | MR | Zbl
,[3] Sur l'impossibilité de la relation algébriqne Xn + Yn + Zn = 0, C. R. Acad. Sci. Paris, 87 (1879), pp. 1108-1110. | JFM
,[4] Catalan's equation in k(t), Amer. Math. Monthly, 81 (1974), pp. 371-373. | MR | Zbl
,[5] Théorie des Valuation, Presses Université de Montréal, 1964. | MR | Zbl
,[6] On the completion of a valuation ring, Math. Annalen, 155 (1964), pp. 392-396. | EuDML | MR | Zbl
,