On reciprocal sums of terms of linear recurrences
Jaroslav Hančl, Péter Kiss (1993)
Mathematica Slovaca
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Jaroslav Hančl, Péter Kiss (1993)
Mathematica Slovaca
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Michael Drmota, Johannes Gajdosik (1998)
Journal de théorie des nombres de Bordeaux
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By using a generating function approach it is shown that the sum-of-digits function (related to specific finite and infinite linear recurrences) satisfies a central limit theorem. Additionally a local limit theorem is derived.
Clemens Fuchs (2003)
Mathematica Slovaca
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Hansjörg Albrecher (2002)
Mathematica Slovaca
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Peter J. Grabner, Pierre Liardet, Robert F. Tichy (1995)
Acta Arithmetica
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Tadeusz Jankowski (1994)
Applications of Mathematics
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A general theory of one-step methods for two-point boundary value problems with parameters is developed. On nonuniform nets , one-step schemes are considered. Sufficient conditions for convergence and error estimates are given. Linear or quadratic convergence is obtained by Theorem 1 or 2, respectively.