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math.GM2021★ 1 cited
Collatz Cycles and 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 cycles. Another sequence having properties simi…
math.GM2020
Sequences and Polynomial Congruence
Darrell Cox, Sourangshu Ghosh, Eldar Sultanow
In this paper, we shall find a new connection between th degree polynomial mod congruence with roots and higher-order Fibonacci and Lucas sequences. We shall first discu…