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Please use this identifier to cite or link to this item: http://dspace.utalca.cl/handle/1950/1548

Title: Counting points of bounded relative height
Authors: De La Maza, A.C.
Issue Date: 2003
Publisher: University College London, Department of Mathematics
Citation: Mathematika 50 (99-100): 125-152 Part 1-2, JUN-DEC 2003
Abstract: Let L/K be an extension of number fields and let e O-L/K(*) be the subgroup of the unit group O-L(*) consisting of the elements that are roots of L units of O-K(*). Denote by N(L/K, B) the number of points in P-1(L)/(O)(L/K)(*) with relative height in the sense of Berge-Martinet at most B. Here P-1(L) stands for the one-dimensional projective space over L. In this paper is proved the formula N(L/K, B) = CB2 + O(B2-1/[L:Q}), where C is a constant given in terms of invariants of L/K such as the regulators, class number and discriminant.
Description: De La Maza, A.C. (reprint author). Instituto de Matematica y Fisica, Universidad de Talca. Casilla 747, Talca, Chile.
URI: http://dspace.utalca.cl/handle/1950/1548
ISSN: 0025-5793
Appears in Collections:Artículos en publicaciones ISI - Universidad de Talca

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