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math.GM2021★ 1 cited
Measuring Abundance with Abundancy Index
Kalpok Guha, Sourangshu Ghosh
A positive integer is called perfect if , where denote the sum of divisors of . In this paper we study the ratio . We define the function Ab…
math.GM2021
Collatz convergence is a Hydra game
Alexander Rahn, Eldar Sultanow, Idriss J. Aberkane
The Collatz dynamic is known to generate a complex quiver of sequences over natural numbers which inflation propensity remains so unpredictable it could be used to generate reliabl…
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…