5 citations · 18 across the 13 of their papers we have counts for
14 papers
On Higher-Order Geometric Refinements of Classical Covariance Asymptotics: An Approach via Intrinsic and Extrinsic Information Geometry
Malik Amir, Sourangshu Ghosh
Classical Fisher-information asymptotics describe the covariance of regular efficient estimators through the local quadratic approximation of the log-likelihood, and thus capture f…
A nested hierarchy of second order upper bounds on system failure probability
Sourangshu Ghosh, Baidurya Bhattacharya
For a coherent, binary system made up of binary elements, the exact failure probability requires knowledge of statistical dependence of all orders among the minimal cut sets. Since…
Calculating Cost Distributions of a Multiservice Loss System
Jorma Jormakka, Sourangshu Ghosh
Congestion pricing has received lots of attention in scientific discussion. Congestion pricing means that the operator increases prices at the time of congestion and the traffic de…
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…
Another Proof of being irrational
Sourangshu Ghosh
Continued fractions are used to give an alternate proof of is irrational.
Fibonacci-Zeta infinite series associated with the polygamma functions
Kunle Adegoke, Sourangshu Ghosh
We derive new infinite series involving Fibonacci numbers and Riemann zeta numbers. The calculations are facilitated by evaluating linear combinations of polygamma functions of the…
A Theorem of Congruent Primes
Jorma Jormakka, Sourangshu Ghosh
To determine whether a number is congruent or not is an old and difficult topic and progress is slow. The paper presents a new theorem when a prime number is a congruent number or…
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…
Lattices and the Geometry of Numbers
Sourangshu Ghosh
In this paper we discuss about properties of lattices and its application in theoretical and algorithmic number theory. This result of Minkowski regarding the lattices initiated th…