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Expansion of power series intoP-fractions

โœ Scribed by Arne Magnus

Publisher
Springer-Verlag
Year
1962
Tongue
French
Weight
257 KB
Volume
80
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES

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A recent paper (J. Number Theory 42 (1992), 61 87) announced various arithmetical properties of the Mahler function f (%, ,; x, y)= k=1 1 m k%+, x k y m . Unfortunately the arguments of that paper are marred by an error whereby the arguments hold only for ,=0 (or when b n =1 for all positive integer

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Some time ago Mills and Robbins (1986, J. Number Theory 23, No. 3, 388-404) conjectured a simple closed form for the continued fraction expansion of the power series solution \(f=a_{1} x^{-1}+a_{2} x^{-2}+\cdots\) to the equation \(f^{4}+f^{2}-x f+1=0\) when the base field is GF(3). In this paper we