The Dirichlet series of : On an error term associated with its coefficients
U. Balakrishnan, Y.-F. S. Pétermann (1996)
Acta Arithmetica
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U. Balakrishnan, Y.-F. S. Pétermann (1996)
Acta Arithmetica
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Torben Maack Bisgaard (2000)
Collectanea Mathematica
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We find sharp asymptotic estimates for a sequence of exponentials to define a positive definite bilinear form.
J. Loxton (1972)
Acta Arithmetica
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Michael Drmota, Wolfgang Steiner (2002)
Journal de théorie des nombres de Bordeaux
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In the first part of the paper we prove that the Zeckendorf sum-of-digits function and similarly defined functions evaluated on polynomial sequences of positive integers or primes satisfy a central limit theorem. We also prove that the Zeckendorf expansion and the -ary expansions of integers are asymptotically independent.
Kurt Mahler (1975)
Acta Arithmetica
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Jan Turk (1986)
Acta Arithmetica
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Paul Voutier (1996)
Acta Arithmetica
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K. Väänänen, Xu Guangshan (1988)
Acta Arithmetica
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K. Ramachandra (1974)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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