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math.NT2019
Simultaneous approximations to p-adic numbers and algebraic dependence via multidimensional continued fractions
Nadir Murru, Lea Terracini
Unlike the real case, there are not many studies and general techniques for providing simultaneous approximations in the field of --adic numbers . Here, we study th…
math.NT2019
On the finiteness and periodicity of the --adic Jacobi--Perron algorithm
Nadir Murru, Lea Terracini
Multidimensional continued fractions (MCFs) were introduced by Jacobi and Perron in order to obtain periodic representations for algebraic irrationals, as it is for continued fract…