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|Title:||Integer sequences of the form α^n±β^n||Authors:||Abdulaziz, Abdulrahman Ali||Affiliations:||Department of Mathematics||Keywords:||Integer sequence
|Issue Date:||2012||Part of:||V. Akis (Ed.), Essays on Mathematics and Statistics. ATINER.||Volume:||2||Start page:||13||End page:||22||Abstract:||
Suppose that we want to find all integer sequences of the form α^n + β^ n , where α and β are complex numbers and n is a nonnegative integer. Since α^0 + β ^0 is always an integer, our task is then equivalent to determining all complex pairs (α, β) such that α^n + β^n ∈ Z, n > 0.
|Appears in Collections:||Department of Mathematics|
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