Multiplicative functions of polynomial values in short intervals
Mohan Nair (1992)
Acta Arithmetica
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Mohan Nair (1992)
Acta Arithmetica
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De Koninck, Jean-Marie, Kátai, Imre (2010)
Journal of Integer Sequences [electronic only]
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Lau, Yuk-Kam, Tsang, Kai-Man (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Jakimczuk, Rafael (2010)
Journal of Integer Sequences [electronic only]
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Yoshinobu Nakai, Iekata Shiokawa (1992)
Acta Arithmetica
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Stojan Radenović, Mirjana Pavlović (2003)
Kragujevac Journal of Mathematics
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G. S. Srivastava, Sunita Rani (1992)
Annales Polonici Mathematici
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Let f(z), , be analytic in the finite disc |z| < R. The growth properties of f(z) are studied using the mean values and the iterated mean values of f(z). A convexity result for the above mean values is obtained and their relative growth is studied using the order and type of f(z).
Paulo J. Almeida (2007)
Journal de Théorie des Nombres de Bordeaux
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Let . Motivated by a conjecture of Erdös, Lau developed a new method and proved that We consider arithmetical functions whose summation can be expressed as , where is a polynomial, and . We generalize Lau’s method and prove results about the number of sign changes for these error terms.
Ivić, A. (2003)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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