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On the growth of recurrence sequences

1977/05/01 by J. H. Loxton, A. J. van der Poorten · 1 citation

paper · doi:10.1017/s0305004100053445

Abstract

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.

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