In:
International Journal of Number Theory, World Scientific Pub Co Pte Ltd, Vol. 13, No. 02 ( 2017-03), p. 261-271
Abstract:
We give finiteness results concerning terms of linear recurrence sequences having a representation as a linear combination, with fixed coefficients, of powers of fixed primes. On one hand, under certain conditions, we give effective bounds for the terms of binary recurrence sequences with such a representation. On the other hand, in the case of some special binary recurrence sequences, all terms having a representation as sums of powers of [Formula: see text] and [Formula: see text] are explicitly determined.
Type of Medium:
Online Resource
ISSN:
1793-0421
,
1793-7310
DOI:
10.1142/S1793042117500166
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2017
SSG:
17,1
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