G. K. Panda

activity

20162026

most citedOn several kinds of sums of balancing numbers

9 citations · 16 across the 10 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.NT2022★ 1 cited

On perfect powers that are sum of two balancing numbers

Pritam Kumar Bhoi, Sudhansu Sekhar Rout, Gopal Krishna Panda

Let $B_{k}$ denote the $k^{t h}$ term of balancing sequence. In this paper we find all positive integer solutions of the Diophantine equation $B_{n} + B_{m} = x^{q}$ in variables $(m, n, x, q)$ …

math.NT2022★ 2 cited

On the resolution of the Diophantine equation $U_{n} + U_{m} = x^{q}$

P. K. Bhoi, S. S. Rout, G. K. Panda

Suppose that $(U_{n})_{n \geq 0}$ is a binary recurrence sequence and has a dominant root $α$ with $α > 1$ and the discriminant $D$ is square-free. In this paper, we study the Diopha…

On perfect powers that are sum of two balancing numbers

On the resolution of the Diophantine equation Un​+Um​=xq

On the resolution of the Diophantine equation $U_{n} + U_{m} = x^{q}$