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Raney's algorithm and irrationality measures of generalized continued fractions

Kalle Leppälä
(Aarhus University and University of Oulu)
Analyseseminar
Torsdag, 16 april, 2015, at 16:15-17:15, in Aud. D3 (1531-215)
Abstrakt:
In his 1973 paper George Raney explained what linear fractional transformations do to a simple continued fraction. He views the continued fraction as an infinite word over an alphabet of two letters. Then a linear fractional transformation becomes a finite state transducer (an automaton which produces an output word from a given input word). This approach can also be used to  study irrationality measures of generalized continued fractions with partial numerators and denominators belonging to some bounded sets of positive integers.
Kontaktperson: Simon Kristensen