On a conjecture on exponential Diophantine equations
Page 1
Mihai Cipu, Maurice Mignotte (2009)
Acta Arithmetica
R. J. Hans-Gill, Madhu Raka, Ranjeet Sehmi (2011)
Acta Arithmetica
Takao Komatsu (1998)
Acta Arithmetica
We obtain the values concerning using the algorithm by Nishioka, Shiokawa and Tamura. In application, we give the values (θ,1/2), (θ,1/a), (θ,1/√(ab(ab+4))) and so on when θ = (√(ab(ab+4)) - ab)/(2a) = [0;a,b,a,b,...].
Takao Komatsu (1999)
Journal de théorie des nombres de Bordeaux
We consider the values concerningwhere the continued fraction expansion of has a quasi-periodic form. In particular, we treat the cases so that each quasi-periodic form includes no constant. Furthermore, we give some general conditions satisfying .
Yann Bugeaud, Nicolas Chevallier (2006)
Acta Arithmetica
J. Kurzweil (1955)
Studia Mathematica
Page 1