On the Diophantine equation $B_{n_{1}}+B_{n_{2}}=2^{a_{1}}+2^{a_{2}}+2^{a_{3}}$

Autor: Bhoi, Kisan, Ray, Prasanta Kumar
Rok vydání: 2022
Předmět:
Zdroj: Communications in Mathematics, Volume 31 (2023), Issue 1 (December 22, 2022) cm:10476
Druh dokumentu: Working Paper
DOI: 10.46298/cm.10476
Popis: In this study we find all solutions of the Diophantine equation $B_{n_{1}}+B_{n_{2}}=2^{a_{1}}+2^{a_{2}}+2^{a_{3}}$ in positive integer variables $(n_{1},n_{2},a_{1},a_{2},a_{3}),$ where $B_{n}$ denotes the $n$-th balancing number.
Comment: 18 pages
Databáze: arXiv