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arXiv · 2006.11075

Norm form equations with solutions taking values in a multi-recurrence

Clemens Fuchs·Sebastian Heintze
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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.

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Clemens Fuchs, Sebastian Heintze. 2020-06-19. Norm form equations with solutions taking values in a multi-recurrence. https://doi.org/10.4064/aa200622-22-10

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