# Wydawnictwa / Czasopisma IMPAN / Acta Arithmetica / Artykuły Online First

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

Acta Arithmetica MSC: 11D57, 11B37, 11J87. DOI: 10.4064/aa200622-22-10 Opublikowany online: 8 February 2021

#### Streszczenie

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 different values in each component which lie in the given multi-recurrence unless the recurrence is of a precisely described exceptional shape. This gives a variant of the question on arithmetic progressions in the solution set of norm form equations.

#### Autorzy

• Clemens FuchsDepartment of Mathematics
University of Salzburg
Hellbrunnerstr. 34
5020 Salzburg, Austria
e-mail
• Sebastian HeintzeDepartment of Mathematics
University of Salzburg
Hellbrunnerstr. 34
5020 Salzburg, Austria
e-mail

## Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Odśwież obrazek