Integers representable as differences of linear recurrence sequences
AbstractLet $$\{U_n\}_{n \ge 0}$$ { U n } n ≥ 0 and $$\{V_m\}_{m \ge 0}$$ { V m } m ≥ 0 be two linear recurrence sequences. We establish an asymptotic formula for the number of integers c in the range $$[-x, x]$$ [ - x , x ] which can be represented as differences $$ U_n - V_m$$ U n - V m . In particular, the density of such integers is 0.
1996 ◽
Vol 39
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pp. 35-46
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2018 ◽
Vol 159
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pp. 321-346
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2017 ◽
Vol 13
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Keyword(s):
1996 ◽
Vol 38
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pp. 147-155
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