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Zeros of linear recurrence sequences (1999)

Schlickewei, Hans Peter ; Schmidt, Wolfgang M. ; Waldschmidt, Michel

Springer

Manuscripta mathematica 98 (1999), S. 225-241

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ISSN: 1432-1785

Keywords: Mathematics Subject Classification (1991):11B37, 11D61, 11J13

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s002290050136

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