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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… Click to show full 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 2, 3 and 2, 3, 5 are explicitly determined.
Keywords:
linear combinations;
recurrence;
recurrence sequences;
combinations prime;
prime powers;
binary recurrence
Journal Title: International Journal of Number Theory
Year Published: 2017
Link to full text (if available)
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Journal Title: International Journal of Number Theory
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!