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Arithmetical sequences and systems of functional equations

✍ Scribed by Lutz G. Lucht

Book ID
105319078
Publisher
Springer
Year
1996
Tongue
English
Weight
52 KB
Volume
52
Category
Article
ISSN
0001-9054

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Sa rko zy and other authors have characterized the multiplicative and the additive sequences among the solutions g: N Γ„ C of homogeneous linear recurrence equations with complex coefficients. Their results are special cases of a much more general theorem concerning recurrent sequences g satisfying c

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The aim of this paper is to discuss the asymptotic properties of the coefficients of generating functions which satisfy a system of functional equations. It turns out that under certain general conditions these coefficients are related to the distribution of a multivariate random variable that is as