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math.NT2018
Generalized Cullen Numbers in Linear Recurrence Sequences
Yuri Bilu, Diego Marques, Alain Togb\' e
A Cullen number is a number of the form , where is a positive integer. In 2004, Luca and St\u anic\u a proved, among other things, that the largest Fibonacci number in…
math.NT2018
No singular modulus is a unit
Yu. Bilu, P. Habegger, L. Kühne
A result of the second-named author states that there are only finitely many CM-elliptic curves over whose -invariant is an algebraic unit. His proof depends on Duk…