On generalised Lebesgue-Ramanujan-Nagell equations

Activity: Talk or presentationOral presentationResearch


We describe a computationally efficient approach to resolving equations of the form $C_1x^2+C_2=y^n$ in coprime integers, for fixed values of $C_1$, $C_2$ subject to further conditions. We make use of a factorisation argument and the Primitive Divisor Theorem due to Bilu, Hanrot and Voutier.
Period6 Nov 2019
Event titleYoung Researchers in Algebraic Number Theory
Event typeConference
LocationCoventry, United KingdomShow on map
Degree of RecognitionNational