On the exponential Diophantine equations of the form .
Acu, Dumitru (2001)
General Mathematics
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Acu, Dumitru (2001)
General Mathematics
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D. Poulakis, P. G. Walsh (2006)
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Let p denote a prime number. P. Samuel recently solved the problem of determining all squares in the linear recurrence sequence {Tₙ}, where Tₙ and Uₙ satisfy Tₙ² - pUₙ² = 1. Samuel left open the problem of determining all squares in the sequence {Uₙ}. This problem was recently solved by the authors. In the present paper, we extend our previous joint work by completely solving the equation Uₙ = bx², where b is a fixed positive squarefree integer. This result also extends previous work...
Maohua Le (2001)
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Ernst, Bruno (1996)
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These are expository notes that accompany my talk at the 25th Journées Arithmétiques, July 2–6, 2007, Edinburgh, Scotland. I aim to shed light on the following two questions:
Shin-ichi Katayama, Claude Levesque (2003)
Acta Arithmetica
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H. Kleiman (1976)
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