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

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

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.

FRUMAM, St Charles (2ème étage)


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