most citedClassical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers

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math.NT2004

Classical and modular approaches to exponential Diophantine equations II. The Lebesgue-Nagell equation

Yann Bugeaud, Maurice Mignotte, Samir Siksek

We solve completely the Lebesgue-Nagell equation x^2+D=y^n, in integers x, y, n>2, for D in the range 1 =< D =< 100.

math.NT2004★ 1 cited

Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers

Yann Bugeaud, Maurice Mignotte, Samir Siksek

This is the first in a series of papers whereby we combine the classical approach to exponential Diophantine equations (linear forms in logarithms, Thue equations, etc.) with a mod…