A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation

Abstract

The generalized Lebesgue-Ramanujan-Nagell equation is an important type of polynomial-exponential Diophantine equation in number theory. In this survey, the recent results and some unsolved problems of this equation are given.

arXiv comment28 pages

References in corpus (2)

• On $p{x}^2+q^{2n}=y^p$ and related Diophantine equations
• On the representation of integers by binary quadratic forms

Cited by in corpus (1)

• Asymptotic Fermat's Last Theorem for a family of equations of signature $(2,2n,n)$