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arXiv · 1705.06122

Multidimensional $p$-adic continued fraction algorithms

Asaki Saito·Jun-ichi Tamura·Shin-ichi Yasutomi
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Abstract

We give a new class of multidimensional $p$-adic continued fraction algorithms. We propose an algorithm in the class for which we can expect that multidimensional $p$-adic version of Lagrange's Theorem holds.

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Asaki Saito, Jun-ichi Tamura, Shin-ichi Yasutomi. 2017-05-17. Multidimensional $p$-adic continued fraction algorithms. https://arxiv.org/abs/1705.06122

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