Asaki SAITO – Continued fraction algorithms and Lagrange’s theorem in the p-adic number field

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Date/heure
Date(s) - 24/01/2020
11 h 00 min - 12 h 00 min

Emplacement
FRUMAM, St Charles (2ème étage)

Catégories


Asaki SAITO (Future University Hakodate)

We present several continued fraction algorithms, each of which gives an eventually periodic expansion for every quadratic element of {mathbb Q}_p over {mathbb Q} and gives a finite expansion for every rational number. We also give, for each of our algorithms, the complete characterization of elements having purely periodic expansions.
This is a joint work with Jun-ichi Tamura and Shin-ichi Yasutomi.

Eric Lozingot
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