Hostname: page-component-77c89778f8-7drxs Total loading time: 0 Render date: 2024-07-22T00:13:34.242Z Has data issue: false hasContentIssue false

Variations on the theme of Hilbert's theorem 90

Published online by Cambridge University Press:  26 February 2003

A. Dubickas
Affiliation:
Department of Mathematics and Informatics, Vilnius University, Naugarduko 24, Vilnius 2006, Lithuania e-mail: arturas.dubickas@maf.vu.lt
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: chris@maths.ed.ac.uk
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Copyright
2002 Glasgow Mathematical Journal Trust