Arithmetical investigations of a certain infinite product
Peter Bundschuh, Keijo Väänänen (1994)
Compositio Mathematica
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Peter Bundschuh, Keijo Väänänen (1994)
Compositio Mathematica
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Nobushige Kurokawa, Masato Wakayama (2005)
Rendiconti del Seminario Matematico della Università di Padova
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Calixto Calderón (1973)
Studia Mathematica
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Antonis Bisbas (1996)
Colloquium Mathematicae
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I. Aliev, S. Kanemitsu, A. Schinzel (1998)
Colloquium Mathematicae
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W. Narkiewicz (1980)
Acta Arithmetica
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Michael Fuchs (2002)
Journal de théorie des nombres de Bordeaux
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We consider the -ary digital expansion of the first terms of an exponential sequence . Using a result due to Kiss and Tichy [8], we prove that the average number of occurrences of an arbitrary digital block in the last digits is asymptotically equal to the expected value. Under stronger assumptions we get a similar result for the first digits, where is a positive constant. In both methods, we use estimations of exponential sums and the concept of discrepancy of real sequences...
J. Mikusiński (1953)
Studia Mathematica
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