Norm form equations with solutions taking values in a multi-recurrence
Number Theory
2023-04-12 v1
Abstract
We are interested in solutions of a norm form equation that takes values in a given multi-recurrence. We show that among the solutions there are only finitely many values in each component which lie in the given multi-recurrence 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.
Cite
@article{arxiv.2006.11075,
title = {Norm form equations with solutions taking values in a multi-recurrence},
author = {Clemens Fuchs and Sebastian Heintze},
journal= {arXiv preprint arXiv:2006.11075},
year = {2023}
}
Comments
11 pages