(Steiner). The only cycle that is a circuit is the trivial cycle.
(sketch). Steiner's method is to show first that any solution of (2.28) withhas the property that
is a convergent in the continued fraction expansion of
, since (2.28) implies that
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He checks that this rational approximation
is so good that it violates the effective estimates of A. Baker [[10], p. 45] for linear forms in logarithms of algebraic numbers if
. Finally he checks that (2.29) fails to hold for all that
by computing the convergents of the continued fractions of
up to
.