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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★ 3 cited
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…