On the rearranged block-orthonormal systems.
Nadibaidze, G. (2000)
Georgian Mathematical Journal
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Displaying similar documents to “A function related to the central limit theorem”
On the rearranged block-orthonormal systems.
On a Relation Between Sums of Arithmetical Functions and Dirichlet Series
Hideaki Ishikawa, Yuichi Kamiya (2012)
Publications de l'Institut Mathématique
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On convergence subsystems of orthonormal systems.
Bareladze, G. (1994)
Georgian Mathematical Journal
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Asymptotic representations for Fibonacci reciprocal sums and Euler’s formulas for zeta values
Carsten Elsner, Shun Shimomura, Iekata Shiokawa (2009)
Journal de Théorie des Nombres de Bordeaux
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We present asymptotic representations for certain reciprocal sums of Fibonacci numbers and of Lucas numbers as a parameter tends to a critical value. As limiting cases of our results, we obtain Euler’s formulas for values of zeta functions.
Discrepancy estimates for a class of normal numbers
Yoshinobu Nakai, Iekata Shiokawa (1992)
Acta Arithmetica
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Counterexamples on non--normal functions with good integrability.
Aulaskari, Rauno, Makhmutov, Shamil, Rättyä, Jouni (2011)
The New York Journal of Mathematics [electronic only]
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Sign changes of error terms related to arithmetical functions
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.