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The classical continued fraction is generalized for studying the rational approximation problem on multi-formal Laurent series in this paper, the construction is called m-continued fraction. It is proved that the approximants of an m-continued fraction converge to a multi-formal Laurent series, and are best rational approximations to it; conversely for any(More)
For an ultimately nonperiodic binary sequence s={s/sub t/}/sub t/spl ges/0/, it is shown that the set of the accumulation values of the normalized linear complexity, L/sub s/(n)/n, is a closed interval centered at 1/2, where L/sub s/(n) is the linear complexity of the length n prefix s/sup n/=(s/sub 0/,s/sub 1/,...,s/sub n-1/) of the sequence s. It was(More)
In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: Abstract We determine the trace function representation, or equivalently, the Fourier(More)