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Variations on the theme of Hilbert's theorem 90

Published online by Cambridge University Press:  26 February 2003

A. Dubickas  and
C. J. Smyth
A. Dubickas
Affiliation:
Department of Mathematics and Informatics, Vilnius University, Naugarduko 24, Vilnius 2006, Lithuania e-mail: [email protected]
C. J. Smyth
Affiliation:
School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ, UK e-mail: [email protected]
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Given a number field K, we find two simple separate necessary and sufficient conditions on a given algebraic number for it to be expressible as a quotient (respectively as a difference) of two algebraic numbers conjugate over K.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 3 , September 2002 , pp. 435 - 441
Copyright
2002 Glasgow Mathematical Journal Trust