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http://dx.doi.org/10.14403/jcms.2010.23.4.625

A p-TH ROOT OF A MINKOWSKI UNIT  

Oh, Jangheon (Department of Applied Mathematics Sejong University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.4, 2010 , pp. 625-628 More about this Journal
Abstract
The purpose of this paper is to show that there exists a unit whose p-th root generates the first layer of anti-cyclotomic ${\mathbb{Z}}_p$-extension of certain imaginary quadratic number fields.
Keywords
anti-cyclotomic extension; Minkowski unit; Kummer extension;
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Times Cited By KSCI : 1  (Citation Analysis)
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