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THERE ARE ONLY ELEVEN SPECIAL PISOT NUMBERS
Published online by Cambridge University Press: 01 January 1999
Abstract
A special Pisot number is a Pisot number α such that α/(α−1) is also a Pisot number. Lagarias, Porta and Stolarsky found 11 special Pisot numbers. Here it is proved that there are no more. Also, the one known Salem number τ with the property that τ/(τ−1) is a Pisot number is shown to be the only such number.
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- © The London Mathematical Society 1999
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