4 citations · 4 across the 8 of their papers we have counts for
10 papers
The infinite sum of the cubes of reciprocal balancing numbers
Subhasis Panda, Aditya Kumar Dash, Utkal Keshari Dutta
In this paper, we study the infinite reciprocal cubic sum of balancing numbers. We obtain explicit bounds for this sum and use them to determin…
On the infinite sum of reciprocals of the fourth powers of balancing numbers
Subhasis Panda, Aditya Kumar Dash, Utkal Keshari Dutta
In this note, we study the infinite reciprocal sum involving the fourth powers of balancing numbers . We show that, for every , \begin{equ…
Euler characteristic of the Selmer group attached to an Artin representation
Subhasis Panda
Longo and Vigni extended a result of Greenberg by giving a relation between the cardinality of the Selmer group and the characteristic power series of its Pontryagin dual over the…
On the Diophantine Equation with Consecutive Exponents
Subhasis Panda
We study the Diophantine equation over positive integers , and for every odd prime . We prove that is the unique solution exc…
On characteristic ideal of Selmer group associated to Artin representations
Dipramit Majumdar, Subhasis Panda
Selmer group for an Artin representation over totally real fields was studied by Greenberg and Vatsal. In this paper we study the Selmer groups for an Artin representation over a t…
From Classical Periodic Orbits in Integrable -Rational Billiards to Quantum Energy Spectrum
Subhasis Panda, Sabyasachi Maulik, Somdeb Chakraborty +1
In the present note, we uncover a remarkable connection between the length of periodic orbit of a classical particle enclosed in a class of 2-dimensional planar billiards and the e…