Abstract:
Let be an exponential polynomial over a field of zero characteristic. Assume that for each pair i,j with i≠j, α i /α j is not a root of unity. Define . We introduce a partition of into subsets (1≤i≤m), which induces a decomposition of f into , so that, for 1≤i≤m, , while for , the number either is transcendental or else is algebraic with not too small a height. Then we show that for all but at most solutions x∈ℤ of f(x)= 0, we have
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Received: 7 August 1998
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Schlickewei, H., Schmidt, W. & Waldschmidt, M. Zeros of linear recurrence sequences. manuscripta math. 98, 225–241 (1999). https://doi.org/10.1007/s002290050136
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DOI: https://doi.org/10.1007/s002290050136