Collatz Cycles and $3n+c$ Cycles

11 Jan 2021 · Darrell Cox, Sourangshu Ghosh, Eldar Sultanow ·

Halbeisen and Hungerbuhler determined optimal bounds for the length of rational Collatz cycles. Their methods are extended to $3n+c$ cycles. Another sequence having properties similar to those of Riemann zeta function zeros is introduced.