NDLI: On the congruent number problem over integers of cyclic number fields

Content Provider	Scilit
Author	Zinevičius, Albertas
Copyright Year	2016
Abstract	Given a cyclic field extension K/ℚ of degree d and a nonzero rational integer m, we show that the equation mp² = x⁴ - y ² has no nontrivial solutions in K / Q ${K/{\mathbb Q}}$ when p belongs to a subset of rational prime numbers of relative density at least φ(d)/(2d).
Related Links	http://www.degruyter.com/downloadpdf/j/ms.2016.66.issue-3/ms-2015-0158/ms-2015-0158.xml
Ending Page	564
Page Count	4
Starting Page	561
ISSN	01399918
e-ISSN	13372211
DOI	10.1515/ms-2015-0158
Journal	Mathematica Slovaca
Issue Number	3
Volume Number	66
Language	English
Publisher	Walter de Gruyter GmbH
Publisher Date	2016-06-01
Access Restriction	Open
Subject Keyword	Mathematica Slovaca Interdisciplinary Mathematics Primary 11d45 11h06 Journal: Mathematica Slovaca, Issue- 14
Content Type	Text
Resource Type	Article
Subject	Mathematics

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On the congruent number problem over integers of cyclic number fields