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Displaying similar documents to “On rational approximations to Euler's constant $γ$ and to $γ + log (a / b)$ .”

Rational approximations to π and some other numbers

Masayoshi Hata (1993)

Acta Arithmetica

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The law of the iterated logarithm for a triangular array of empirical processes.

Arcones, Miguel A. (1997)

Electronic Journal of Probability [electronic only]

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Vacca-type series for values of the generalized Euler constant function and its derivative.

Hessami Pilehrood, Khodabakhsh, Hessami Pilehrood, Tatiana (2010)

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Higher correlations of divisor sums related to primes. I: Triple correlations.

Goldston, D. A., Yıldırım, C. Y. (2003)

Integers

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Sequences and series involving the sequence of composite numbers.

Vlamos, Panayiotis (2002)

International Journal of Mathematics and Mathematical Sciences

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A note on sums of powers which have a fixed number of prime factors.

Jakimczuk, Rafael (2005)

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Precise asymptotics in the law of iterated logarithm for moving average process under dependence.

Li, Jie (2011)

Journal of Inequalities and Applications [electronic only]

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On the Euler function of repdigits

Florian Luca (2008)

Czechoslovak Mathematical Journal

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For a positive integer $n$ we write $φ (n)$ for the Euler function of $n$ . In this note, we show that if $b > 1$ is a fixed positive integer, then the equation $φ (x \frac{b^{n} - 1}{b - 1}) = y \frac{b^{m} - 1}{b - 1}, where x, y \in {1, ..., b - 1},$ has only finitely many positive integer solutions $(x, y, m, n)$ .

On positive integers with a certain nondivisibility property.

Baoulina, Ioulia, Luca, Florian (2008)

Annales Mathematicae et Informaticae

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Maximal inequalities for dependent random variables and applications.

Sung, Soo Hak (2008)

Journal of Inequalities and Applications [electronic only]

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