EUDML | On the non-holonomic character of logarithms, powers, and the th prime function.

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Displaying similar documents to “On the non-holonomic character of logarithms, powers, and the $n$ th prime function.”

On the sum of digits of some sequences of integers

Javier Cilleruelo, Florian Luca, Juanjo Rué, Ana Zumalacárregui (2013)

Open Mathematics

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Let b ≥ 2 be a fixed positive integer. We show for a wide variety of sequences {a n}n=1∞ that for almost all n the sum of digits of a n in base b is at least c b log n, where c b is a constant depending on b and on the sequence. Our approach covers several integer sequences arising from number theory and combinatorics.

Bounds for the eventual positivity of difference functions of partitions into prime powers.

Woodford, Roger (2007)

Journal of Integer Sequences [electronic only]

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Convergence of subseries of the harmonic series and asymptotic densities of sets of positive integers.

Powell, Barry J., Šalát, Tibor (1991)

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Counting Keith numbers.

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Journal of Integer Sequences [electronic only]

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A note on the asymptotic behavior of the heights in $b$ -trees for $b$ large.

Knessl, Charles, Szpankowski, Wojciech (2000)

The Electronic Journal of Combinatorics [electronic only]

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Asymptotic behaviour of some infinite products involvingprime numbers

Hsien-Kuei Hwang (1996)

Acta Arithmetica

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The average order of a permutation.

Stong, Richard (1998)

The Electronic Journal of Combinatorics [electronic only]

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Threshold functions for the bipartite Turán property.

Godbole, Anant P., Lamorte, Ben, Sandquist, Erik Jonathan (1997)

The Electronic Journal of Combinatorics [electronic only]

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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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On some non-holonomic sequences.

Gerhold, Stefan (2004)

The Electronic Journal of Combinatorics [electronic only]

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Asymptotic order of the square-free part of $N!$ .

Broughan, Kevin A. (2002)

Integers

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Note on the number of sequences with given complexity.

Banjević, Dragan (1984)

Publications de l'Institut Mathématique. Nouvelle Série

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Distribution functions of the sequence $ϕ (m) / m, m \in (k, k + N)$ as $k, N$ go to infinity.

Baláž, Vladimír, Liardet, Pierre, Strauch, Oto (2010)

Integers

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