Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-25T19:01:02.110Z Has data issue: false hasContentIssue false

Multiplicities of Binary Recurrences

Published online by Cambridge University Press:  20 November 2018

B. Brindza
Affiliation:
Kossuth Lajos University Mathematical Institute Debrecen P.O. Box 12 4010-Hungary
Á. Pintér
Affiliation:
Kossuth Lajos University Mathematical Institute Debrecen P.O. Box 12 4010-Hungary
W. M. Schmidt
Affiliation:
University of Colorado at Boulder Department of Mathematics Campus Box 395 Boulder, CO 80309-0395 USA
Rights & Permissions [Opens in a new window]

Abstract

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.

In this note the multiplicities of binary recurrences over algebraic number fields are investigated under some natural assumptions.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2001

References

[1] Beukers, F. and Schlickewei, H. P., The equation x + y = 1 in finitely generated groups. Acta Arith. 78 (1996), 189199.Google Scholar
[2] Shorey, T. N., van der Poorten, A. J., Tijdeman, R. and Schinzel, A., Applications of the Gel’fond-Baker Method to Diophantine Equations. In: Transcendence Theory: Advances and Applications (eds. A. Baker and D.W. Masser), Academic Press, London-New York-San Francisco, 1977, 5977.Google Scholar
[3] Shorey, T. N. and Tijdeman, R., Exponential Diophantine Equations. Cambridge University Press, Cambridge, 1986.Google Scholar