**FERENC MATYAS**

*On the difference of perfect powers and sums of terms of linear recurrences*

**Pages:** 77-85

**Received:** 3 March 2000

**Mathematics Subject Classification (2000):** 11B39 - 11J86

Work partially supported by the Hungarian OTKA Foundation, No. T 032898

**Abstract**:
Let G^{(i)} = {G_{x}^{(i)}}
^{¥}_{x=0} (i=1,2, ..., m; m³2) be
linear sequences of order k_{i}³2
and
G_{x}^{(i)}Î**Z**. Let K>1 be a fixed real number
and

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