5 citations · 18 across the 13 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…
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…
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 when .…
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…
The Basel Problem
Sourangshu Ghosh
Because of its relation to the distribution of prime numbers, the Riemann zeta function ζ (s) is one of the most important functions in mathematics. The zeta function is defined by…