Norm form equations with solutions taking values in a multirecurrence
Abstract
We are interested in solutions of a norm form equation that takes values in a given multirecurrence. We show that among the solutions there are only finitely many values in each component which lie in the given multirecurrence unless the recurrence is of precisely described exceptional shape. This gives a variant of the question on arithmetic progressions in the solution set of norm form equations.
 Publication:

arXiv eprints
 Pub Date:
 June 2020
 DOI:
 10.48550/arXiv.2006.11075
 arXiv:
 arXiv:2006.11075
 Bibcode:
 2020arXiv200611075F
 Keywords:

 Mathematics  Number Theory;
 11D57;
 11B37;
 11J87
 EPrint:
 11 pages