On Existance Of Expansion Of A Complex Function
Miodrag Rašković (1979)
Publications de l'Institut Mathématique
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Displaying similar documents to “Beta expansion of Salem numbers approaching Pisot numbers with the finiteness property”
On Existance Of Expansion Of A Complex Function
Periods of β-expansions and linear recurrent sequences
Yan-Hui Qu, Hui Rao, Ya-Min Yang (2005)
Acta Arithmetica
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Some expansion theorems for the H-function
P. Skibiński (1970)
Annales Polonici Mathematici
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On a General Formula for the Expansion of Functions in Series.
W.H. Echols (1893)
Bulletin of the New York Mathematical Society
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A Note on a Double Series Expansion
T. V. Narayana, E. Goodman (1969)
Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche
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Frequencies of factors in Arnoux-Rauzy sequences
Nathan Wozny, Luca Q. Zamboni (2001)
Acta Arithmetica
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Odometers and systems of numeration
Peter J. Grabner, Pierre Liardet, Robert F. Tichy (1995)
Acta Arithmetica
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The integral mean of the sum-of-digits function of the Ostrowski expansion
Luís Roçadas (2003)
Acta Arithmetica
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On a problem of Erdős and Graham concerning digits
Thomas Stoll (2006)
Acta Arithmetica
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Wronski's Expansion.
W.H. Echols (1893)
Bulletin of the New York Mathematical Society
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A note on linear recurrent Mahler numbers.
Barat, Guy, Frougny, Christiane, Pethő, Attila (2005)
Integers
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Generalized golden ratios of ternary alphabets
Vilmos Komornik, Anna Chiara Lai, Marco Pedicini (2011)
Journal of the European Mathematical Society
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Expansions in noninteger bases often appear in number theory and probability theory, and they are closely connected to ergodic theory, measure theory and topology. For two-letter alphabets the golden ratio plays a special role: in smaller bases only trivial expansions are unique, whereas in greater bases there exist nontrivial unique expansions. In this paper we determine the corresponding critical bases for all three-letter alphabets and we establish the fractal nature of these bases...
On terms of linear recurrence sequences with only one distinct block of digits
Diego Marques, Alain Togbé (2011)
Colloquium Mathematicae
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In 2000, Florian Luca proved that F₁₀ = 55 and L₅ = 11 are the largest numbers with only one distinct digit in the Fibonacci and Lucas sequences, respectively. In this paper, we find terms of a linear recurrence sequence with only one block of digits in its expansion in base g ≥ 2. As an application, we generalize Luca's result by finding the Fibonacci and Lucas numbers with only one distinct block of digits of length up to 10 in its decimal expansion.