Darrell Cox

most citedCollatz Cycles and

3 n + c

Cycles

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.GM2021★ 1 cited

Collatz Cycles and $3 n + c$ Cycles

Darrell Cox, Sourangshu Ghosh, Eldar Sultanow

Halbeisen and Hungerbuhler determined optimal bounds for the length of rational Collatz cycles. Their methods are extended to $3 n + c$ cycles. Another sequence having properties simi…

math.GM2020★ 1 cited

Bounds of the Mertens Function

Darrell Cox, Sourangshu Ghosh, Eldar Sultanow

In this paper, we derive new properties of the Mertens function and discuss a likely upper bound of the absolute value of the Mertens function $lo g x! > ∣ M (x) ∣$ when $x > 1$ .…

math.GM2020

Sequences and Polynomial Congruence

Darrell Cox, Sourangshu Ghosh, Eldar Sultanow

In this paper, we shall find a new connection between $n$ th degree polynomial mod $p$ congruence with $n$ roots and higher-order Fibonacci and Lucas sequences. We shall first discu…

Collatz Cycles and 3n+c Cycles

Bounds of the Mertens Function

Sequences and Polynomial Congruence

Collatz Cycles and $3 n + c$ Cycles