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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Trace form associated to cyclic number fields of ramified odd prime degree

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Author(s):
Araujo, Robson R. [1] ; Chagas, Ana C. M. M. [2] ; Andrade, Antonio A. [3] ; Nobrega Neto, Trajano P. [3]
Total Authors: 4
Affiliation:
[1] Univ Estadual Campinas, UNICAMP, Dept Math, Campinas, SP - Brazil
[2] Fed Univ Grande Dourados UFGD, Dept Math, Dourados, MS - Brazil
[3] Sao Paulo State Univ Unesp, Inst Biosci Humanites & Exact Sci Ibilce, Dept Math, Campus Sao Jose do Rio Preto, Sao Paulo - Brazil
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 19, n. 4 APR 2020.
Web of Science Citations: 0
Abstract

In this work, we computate the trace form Tr-K/Q(x(2)) associated to a cyclic number field K of odd prime degree p, where p ramified in K and x belongs to the ring of integers of K. Furthermore, we use this trace form to calculate the expression of the center density of algebraic lattices constructed via the Minkowski embedding from some ideals in the ring of integers of K. (AU)

FAPESP's process: 13/25977-7 - Security and reliability of Information: theory and practice
Grantee:Marcelo Firer
Support Opportunities: Research Projects - Thematic Grants