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On the growth of recurrence sequences

Published online by Cambridge University Press:  24 October 2008

J. H. Loxton  and
A. J. van der Poorten
J. H. Loxton
Affiliation:
School of Mathematics, University of New South Wales, Kensington, N.S.W., Australia, 2033
A. J. van der Poorten
Affiliation:
School of Mathematics, University of New South Wales, Kensington, N.S.W., Australia, 2033
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Extract

In this note, we discuss some questions on the arithmetic properties of recurrence sequences. Our primary purpose is to mention some methods which originated as lemmas in certain transcendence studies, but in order to give context to these ideas, we briefly review other techniques applicable to the problems considered. These problems concern the distribution of zeros in a recurrence, the rate of growth of its terms and the size of the greatest prime factor of the terms.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 3 , May 1977 , pp. 369 - 376
Copyright
Copyright © Cambridge Philosophical Society 1977

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