Continued fraction algorithms and Lagrange’s theorem in the p-adic number field
Asaki Saito
Future University Hakodate
https://www.researchgate.net/profile/Asaki-Saito
Date(s) : 24/01/2020 iCal
11h00 - 12h00
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.
https://arxiv.org/abs/1701.04615
Emplacement
Saint-Charles - FRUMAM (2ème étage)
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