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- W4224228367 abstract "Let $B_k$ denote the $k^{th}$ 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 $(m, n,x,q)$ under the assumption $nequiv m pmod 2$. Furthermore, we study the Diophantine equation [B_n^{3}pm B_m^{3} = x^q] with positive integer $qgeq 3$ and $gcd(B_n, B_m) =1$." @default.
- W4224228367 created "2022-04-26" @default.
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- W4224228367 date "2022-04-18" @default.
- W4224228367 modified "2023-09-27" @default.
- W4224228367 title "On perfect powers that are sum of two balancing numbers" @default.
- W4224228367 doi "https://doi.org/10.1007/s10998-023-00540-7" @default.
- W4224228367 hasPublicationYear "2022" @default.
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