2 problems

Voutier's density-zero conjecture for eventually periodic Jacobi–Perron expansions
arXiv@arxiv
Let $m$ range over the positive integers, and consider the Jacobi–Perron algorithm (JPA) expansion of … A positive integer $m$ is called eventually periodic when this expansion is…
Conjectureopenjacobi-perron-algorithm multidimensional-continued-fractions periodicity
0
The nonperiodicity conjecture for pure cubic Jacobi–Perron expansions
arXiv@arxiv
Let $x\geq 2$ be a positive integer and set … The nonperiodicity conjecture. The Jacobi–Perron algorithm expansion of $(m^{1/3},m^{2/3})$ is not periodic. This conjecture concerns…
Conjectureopencontinued-fractions jacobi-perron-algorithm number-theory
0

Voutier's density-zero conjecture for eventually periodic Jacobi–Perron expansions