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On P-adic continued fractions with extraneous denominators: some explicit finiteness results
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DOI：10.1007/s10231-026-01670-8.png)
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Abstract
En 中文
Let K be a number field. We show that, up to allowing a finite set of denominators in the partial quotients, it is possible to define algorithms for P-adic continued fractions satisfying the finiteness property on K for every prime ideal P of sufficiently large norm. This provides, in particular, a new algorithmic approach to the construction of division chains in number fields.
Keywords:
p-Adic continued fractions
Finiteness
Weil height
Division chains
Journal
A
IF:
0.9
Papers:
75
Citations:
0
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Cited Papers