A Model for Computing Rational Algebraic K-Theory of Simply Connected Spaces.
W.-c. Hsiang, R.E. Staffeldt (1982)
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W.-c. Hsiang, R.E. Staffeldt (1982)
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The rationality of a stably rational torus with a cyclic splitting field is proved.
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We give a general upper bound for the irrationality exponent of algebraic Laurent series with coefficients in a finite field. Our proof is based on a method introduced in a different framework by Adamczewski and Cassaigne. It makes use of automata theory and, in our context, of a classical theorem due to Christol. We then introduce a new approach which allows us to strongly improve this general bound in many cases. As an illustration, we give a few examples of algebraic Laurent series...
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