On the zeros of linear recurrence sequences

Francesco Amoroso (1) , Evelina Viada (2)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme
2 Department of Mathematics [Basel]

We improve by one exponential W. M. Schmidt's estimate for the Skolem-Mahler-Lech theorem on the number of arithmetic progressions describing the zeros of a linear recurrence sequence.

Domaines: Théorie des nombres [math.NT]

Francesco Amoroso, Evelina Viada. On the zeros of linear recurrence sequences. Acta Arithmetica, 2011, 147 (4), pp.387-396. ⟨hal-00424780⟩