1 citations · 4 across the 14 of their papers we have counts for
5 papers · 1 filter
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…
Rotating Binaries
Anant Gupta, Idriss J. Aberkane, Sourangshu Ghosh +3
This paper investigates the behaviour of rotating binaries. A rotation by digits to the left of a binary number exhibits in particular cases the divisibility $l\mid N_1(B)\…
The Farey Sequence and the Mertens Function
Darrell Cox, Sourangshu Ghosh, Eldar Sultanow
Franel and Landau derived an arithmetic statement involving the Farey sequence that is equivalent to the Riemann hypothesis. Since there is a relationship between the Mertens funct…
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…
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…