A remark on certain simultaneous divisibility sequences
Volume 137 / 2014
Colloquium Mathematicum 137 (2014), 209-213 MSC: Primary 11G35; Secondary 11G05, 11G10, 14H52. DOI: 10.4064/cm137-2-5
We investigate possible orders of reductions of a point in the Mordell–Weil groups of certain abelian varieties and in direct products of the multiplicative group of a number field. We express the result obtained in terms of divisibility sequences.