P. Stoll

collaborators

2 papers

math.NT2021

The repetends of reduced fractions $a / b^{k}$ approach full complexity with an increasing $k$

Josefina López, Peter Stoll

In this paper, we prove a criterion for complexity in $g$ -ary expansions of a rational fraction $a / b < 1$ with gcd $(a, b) = 1$ . We prove that for any purely periodic proper fraction $a/…

math.NT2021

The 3x+1 Periodicity Conjeture in $R$

Josefina López, Peter Stoll

The $3 x + 1$ map $T$ is defined on the $2$ -adic integers $Z_{2}$ by $T (x) = x /2$ for even $x$ and $T (x) = (3 x + 1) /2$ for odd $x$ . It is still unproved that under iteration of $T$ t…

The repetends of reduced fractions a/bk approach full complexity with an increasing k

The 3x+1 Periodicity Conjeture in R

The repetends of reduced fractions $a / b^{k}$ approach full complexity with an increasing $k$

The 3x+1 Periodicity Conjeture in $R$