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Evaluation of infinite series by use of continued fraction expansions: A numerical study

✍ Scribed by P Hänggi; F Roesel; D Trautmann

Book ID: 107788617
Publisher: Elsevier Science
Year: 1980
Tongue: English
Weight: 739 KB
Volume: 37
Category: Article
ISSN: 0021-9991
DOI: 10.1016/0021-9991(80)90023-6

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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