3 papers
math.NT2020
Perfect powers in sum of three fifth powers
Pranabesh Das, Pallab Kanti Dey, Angelos Koutsianas +1
In this paper we determine the perfect powers that are sums of three fifth powers in an arithmetic progression. More precisely, we completely solve the Diophantine equation $$ (x-d…
math.NT2020
Repdigits in Narayana's Cows Sequence and their Consequences
Jhon J. Bravo, Pranabesh Das, Sergio Guzmán
Narayana's cows sequence satisfies the third-order linear recurrence relation for with initial conditions and . In this paper, w…
math.NT2017
Perfect powers in alternating sum of consecutive cubes
Pranabesh Das, Pallab Kanti Dey, B. Maji +1
In this paper, we consider the problem about finding out perfect powers in an alternating sum of consecutive cubes. More precisely, we completely solve the Diophantine equation $(x…