Open Access
November 2008 The additive unit structure of pure quartic complex fields
Alan Filipin, Robert Tichy, Volker Ziegler
Funct. Approx. Comment. Math. 39(1): 113-131 (November 2008). DOI: 10.7169/facm/1229696558

Abstract

All complex, pure quartic fields with maximal orders generated by their units are determined. Furthermore, a quantitative version of the unit sum number problem is considered.

Citation

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Alan Filipin. Robert Tichy. Volker Ziegler. "The additive unit structure of pure quartic complex fields." Funct. Approx. Comment. Math. 39 (1) 113 - 131, November 2008. https://doi.org/10.7169/facm/1229696558

Information

Published: November 2008
First available in Project Euclid: 19 December 2008

zbMATH: 1260.11064
MathSciNet: MR2490092
Digital Object Identifier: 10.7169/facm/1229696558

Subjects:
Primary: 11R16
Secondary: 11N37 , 11R27

Keywords: Additive structure of units , unit sum number problem

Rights: Copyright © 2008 Adam Mickiewicz University

Vol.39 • No. 1 • November 2008
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