@incollection{AST_1982__94__87_0, author = {Leutbecher, Armin and Martinet, Jacques}, title = {Lenstra's constant and euclidean number fields}, booktitle = {Journ\'ees arithm\'etiques - Metz, 1981}, series = {Ast\'erisque}, pages = {87--131}, publisher = {Soci\'et\'e math\'ematique de France}, number = {94}, year = {1982}, zbl = {0499.12013}, mrnumber = {702368}, language = {en}, url = {http://www.numdam.org/item/AST_1982__94__87_0/} }
TY - CHAP AU - Leutbecher, Armin AU - Martinet, Jacques TI - Lenstra's constant and euclidean number fields BT - Journées arithmétiques - Metz, 1981 AU - Collectif T3 - Astérisque PY - 1982 SP - 87 EP - 131 IS - 94 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1982__94__87_0/ LA - en ID - AST_1982__94__87_0 ER -
%0 Book Section %A Leutbecher, Armin %A Martinet, Jacques %T Lenstra's constant and euclidean number fields %B Journées arithmétiques - Metz, 1981 %A Collectif %S Astérisque %D 1982 %P 87-131 %N 94 %I Société mathématique de France %U http://www.numdam.org/item/AST_1982__94__87_0/ %G en %F AST_1982__94__87_0
Leutbecher, Armin; Martinet, Jacques. Lenstra's constant and euclidean number fields, dans Journées arithmétiques - Metz, 1981, Astérisque, no. 94 (1982), pp. 87-131. http://www.numdam.org/item/AST_1982__94__87_0/
[1] A Table of Totally Real Cubic Fields, Math. Comp. 30, 184-187 (1976). | DOI | MR | Zbl
,[2] The Euclidean condition in pure cubic and complex quartic fields, Math. Comp. 33, 389-398 (1979). | DOI | MR | Zbl
,[3] Tables minorant la racine -ième du discriminant d'un corps de degré , Publ. Math. Orsay, 80. 06 (1980). | MR | Zbl
,[4] Real quartic fields with small discriminants, J. London Math. Soc. 31, 478-485 (1956). | DOI | MR | Zbl
,[5] On totally complex quartic fields with small discriminants, Proc. Cambridge Phil. Soc. 53, 1-4 (1957). | DOI | MR | Zbl
,[6] On quartic fields of signature one with small discriminant, Quart. J. Math. Oxford 8, 214-222 (1957). | DOI | MR | Zbl
,[7] Lien entre le groupe des unités et la monogénéité des corps cubiques cycliques, Publ. Math. Fac. Sc. Besançon, année 1975-76, fasc. 1, 19 p.
,[8] Zur Theorie der algebraischen Zahlen, Nachr. der k. Ges. d. Wiss. Göttingen, Math. Phys. Klasse, 324-331 (1895) ; Werke, Bd 2, 236-243. | EuDML | JFM
,[9] Der Euklidische Divisionssatz in einem endlischen algebraischen Zahlkörper, Math. Z. 3, 123-126 (1919); Werke, Bd 2, 471-474. | DOI | EuDML | JFM | MR
,[10] Euclidean Number Fields of Large Degree, Invent. Math. 38, 237-254 (1977). | DOI | EuDML | MR | Zbl
.,[11] Quelques exemples d'anneaux euclidiens, C.R. Acad. Sc. Paris, 286, A, 683-685 (1978). | MR | Zbl
.,[12] Euclidean Number Fields 1, 2, 3, Math. Intelligencer 2, 6-15, 73-77, 99-103 (1979-80). | DOI | MR | Zbl
.,[13] Petits discriminants, Ann. Inst. Fourier, XXIX, 159-170 (1979). | DOI | EuDML | Numdam | MR | Zbl
,[14] Petits discriminants des corps de nombres, Lectures Notes of the London Math. Soc. (to appear). | Zbl
,[15] Corps euclidiens, unités exceptionnelles et courbes el-liptiques, J. Number Theory 13, 123-137 (1981). | DOI | MR | Zbl
,[16] Sur un type particulier d'unités algébriques, Ark. Math. 8, 18, 163-184 (1969). | MR | Zbl
,[17] Discriminant Bounds, Mimeographed, 1976. | Zbl
,[18] On the finite generation of linear groups over Hasse domains, J. reine angew. Math. 217, 79-108 (1965). | EuDML | MR | Zbl
,[19] The minimum Discriminant of Seventh Degree Totally Real Algebraic Number Fields, Number Theory and Algebra, H. Zassenhaus ed., 235-240, Academic Press, New York, 1977. | MR | Zbl
,[20] On the Computation of Number Fields of Small Discriminants Including the Minimum Discriminants of Sixth Degree Fields, J. Number Theory 14, 99-117 (1982). | DOI | MR | Zbl
,[21] Lehrbuch der Algebra, 2nd ed., Bd. 3, 1908. | EuDML | MR
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