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Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations by Chakraborty, Kalyan; Hoque, Azizul; Sharma, Richa is a scholarly article available to read on EtoBox.

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It is well-known that for $p=1, 2, 3, 7, 11, 19, 43, 67, 163$, the class number of $\mathbb{Q}(\sqrt{-p})$ is one. We use this fact to determine all the solutions of $x^2+p^m=4y^n$ in non-negative integers $x, y, m$ and $n$.

Author

Chakraborty, Kalyan; Hoque, Azizul; Sharma, Richa

Published

2018

Language

EN