Covering the Integers with Linear Recurrences

John R. Burke and Gerald E. Bergum

A chapter in Applications of Fibonacci Numbers, 1988, pp 143-147 from Springer

Abstract: Abstract The idea of representing a given set as the union of subsets is quite common in mathematics. Sometimes the problem is very geometric in nature such as tiling the plane with a given geometric shape. Another common application of the idea of covering occurs in additive number theory. To illustrate this, let $$ {z_0} = \{ 0,1,2,...\} $$ .

Date: 1988
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DOI: 10.1007/978-94-015-7801-1_13

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