Weighted composition operators on growth spaces.
Dubtsov, E.S. (2009)
Sibirskij Matematicheskij Zhurnal
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Dubtsov, E.S. (2009)
Sibirskij Matematicheskij Zhurnal
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Yoshinobu Nakai, Iekata Shiokawa (1992)
Acta Arithmetica
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Jakimczuk, Rafael (2010)
Journal of Integer Sequences [electronic only]
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Nedeljkov, M., Pilipović, S. (2002)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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M. Nedeljkov, S. Pilipović (2002)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Lau, Yuk-Kam, Tsang, Kai-Man (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Tomás Hobza, Igor Vajda (2001)
Revista Matemática Complutense
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We consider positive real valued random data X with the decadic representation X = Σ D 10 and the first significant digit D = D(X) in {1,2,...,9} of X defined by the condition D = D ≥ 1, D = D = ... = 0. The data X are said to satisfy the Newcomb-Benford law if P{D=d} = log(d+1 / d) for all d in {1,2,...,9}. This law holds for example for the data with logX uniformly distributed on an interval (m,n) where m and n are integers. We show that if logX has a distribution...
Harald A. Helfgott (2007)
Journal de Théorie des Nombres de Bordeaux
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Let be a polynomial of degree without roots of multiplicity or . Erdős conjectured that, if satisfies the necessary local conditions, then is free of th powers for infinitely many primes . This is proved here for all with sufficiently high entropy. The proof serves to demonstrate two innovations: a strong repulsion principle for integer points on curves of positive genus, and a number-theoretical analogue of Sanov’s theorem from the theory of large deviations. ...
Stojan Radenović, Mirjana Pavlović (2003)
Kragujevac Journal of Mathematics
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