On integer solutions to x² - dy² = 1, z² - 2dy² =1
P. G. Walsh (1997)
Acta Arithmetica
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P. G. Walsh (1997)
Acta Arithmetica
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Foata, Dominique (1986)
Séminaire Lotharingien de Combinatoire [electronic only]
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Breckner, Brigitte E., Ruppert, Wolfgang A.F. (2004)
Journal of Lie Theory
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De Cecco, Giuseppe, Palmieri, Giuliana (2001)
Beiträge zur Algebra und Geometrie
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Désarménien, Jacques, Foata, Dominique (1988)
Séminaire Lotharingien de Combinatoire [electronic only]
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Zeilberger, Doron (1990)
Séminaire Lotharingien de Combinatoire [electronic only]
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Robert S. Coulter (1998)
Acta Arithmetica
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Désarménien, Jacques, Foata, Dominique (1984)
Séminaire Lotharingien de Combinatoire [electronic only]
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Rolando Cavazos-Cadena, Raúl Montes-de-Oca (2000)
Applicationes Mathematicae
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This work concerns controlled Markov chains with finite state space and nonnegative rewards; it is assumed that the controller has a constant risk-sensitivity, and that the performance ofa control policy is measured by a risk-sensitive expected total-reward criterion. The existence of optimal stationary policies isstudied within this context, and the main resultestablishes the optimalityof a stationary policy achieving the supremum in the correspondingoptimality equation, whenever the...
Takaaki Kagawa (1998)
Acta Arithmetica
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Foata, Dominique, Han, Guo-Niu (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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Szirmai, Jenő (2005)
Beiträge zur Algebra und Geometrie
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Foata, Dominique, Krattenthaler, Christian (1995)
Séminaire Lotharingien de Combinatoire [electronic only]
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Andrews, George E. (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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