Zimmert, Rainer Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung. (German) Zbl 0456.12003 Invent. Math. 62, No. 3, 367-380 (1981). Reviewer: Hans Opolka (Braunschweig) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 ReviewsCited in 41 Documents MSC: 11R29 Class numbers, class groups, discriminants 11R80 Totally real fields 11R42 Zeta functions and \(L\)-functions of number fields Keywords:class group; regulator; zeta-function of ideal class; Minkowski estimate of norm of ideal PDF BibTeX XML Cite \textit{R. Zimmert}, Invent. Math. 62, 367--380 (1981; Zbl 0456.12003) Full Text: DOI EuDML References: [1] Lang, S.: Algebraic Number Theory. Reading, Mass.: Addison-Wesley 1970 · Zbl 0211.38404 [2] Mulholland, H.P.: On the product ofn complex homogeneous linear forms. J. London Math. Soc.35, 241-250 (1960) · Zbl 0089.26804 [3] Narkiewicz, W.: Elementary and analytical theory of algebraic numbers, Polish Scientific Publishers, Warszawa, 1974 · Zbl 0276.12002 [4] Odlyzko, A.M.: Tabellen datiert November 29, 1976 (to appear as an appendix to a paper on small discriminants by J. Martinet in the Proceedings of the 1980 Exeter Journiées Arithmétiques) [5] Pohst, M.: Regulatorabschätzungen für total reelle algebraische Zahlkörper. J. Number Theory9, 459-492 (1977) · Zbl 0366.12011 [6] Poitou, G.: Minorations da discriminants (d’après A.M. Odlyzko). Séminaire Bourbaki 1975/76. Lecture Notes in Mathematics, vol.567, 137-153. Berlin Heidelberg New York: Springer 1977 [7] Poitou, G.: Sur les petits discriminants, Séminaire Delange-Pisot-Poitou (Théorie des nombres), 18e année, no. 6 (1976/77) [8] Remak, R.: Über die Abschätzung des absoluten Betrages des Regulators eines algebraischen Zahlkörpers nach unten. J. Reine Angew. Math.167, 360-378 (1932) · JFM 58.0173.04 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.