5 citations · 18 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
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…