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Preprints of the Keldysh Institute of Applied Mathematics, 1998, 035 (Mi ipmp1349)  
Generalized Continued Fractions Connected with the Gauss Transformation

L. D. Pustyl’nikov
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Abstract: A new theory of generalized continued fractions connected with the Gauss transformation is constructed. The theory is near to classical theory of continued fractions and allows to characterize arbitrary algebraic and transcendental numbers with the help of generalized continued fractions. The results of this theory generalize classical results of the theory of continued fractions.
Document Type: Preprint
Language: Russian
Citation: L. D. Pustyl’nikov, “Generalized Continued Fractions Connected with the Gauss Transformation”, Keldysh Institute preprints, 1998, 035
Citation in format AMSBIB
\Bibitem{Pus98}
\by L.~D.~Pustyl’nikov
\paper Generalized Continued Fractions Connected with the Gauss Transformation
\jour Keldysh Institute preprints
\yr 1998
\papernumber 035
\mathnet{http://mi.mathnet.ru/ipmp1349}
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  • https://www.mathnet.ru/eng/ipmp/y1998/p35
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