List questions from harmonic-numbers

Published on 09 Jan 2019 - 23:56

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Sums of Reciprocals of Polynomials and Harmonic Numbers

Published on 11 Jan 2019 - 15:37

237

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What is the asymptotic form for the sum of the reciprocals of the first $n$ primes?

Published on 12 Jan 2019 - 1:06

77

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Sum with harmonic number of squared argument as e.g. $\sum_{k=1}^\infty \frac{H(k^2)}{k^2}$

Published on 12 Jan 2019 - 9:16

76

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How many terms are required for harmonic series of degrees to "cover" a full $360^\text{o}$ circle?

Published on 22 Jan 2019 - 14:35

531

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Closed form expression for the harmonic sum $\sum\limits_{n=1}^{\infty}\frac{H_{2n}}{n^2\cdot4^n}{2n \choose n}$

Published on 24 Jan 2019 - 1:02

174

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New formula for complex harmonic progression

Published on 02 Feb 2019 - 18:31

976

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determining if sequence has upper bound

Published on 04 Feb 2019 - 17:47

87

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Is there a formula for a summation divided by a product of its terms?

Published on 07 Feb 2019 - 5:24

290

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Two Euler sums each containing the reciprocal of the central binomial coefficient

Published on 25 Mar 2026 - 1:24

39

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Harmonic numbers

Published on 11 Feb 2019 - 17:16

83

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Harmonic series (double)

Published on 12 Feb 2019 - 14:53

151

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Estimate for multiple harmonic sum

Published on 25 Mar 2026 - 1:14

122

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Do these polynomials with harmonic number-related coefficients lie in some particular known class?

Published on 16 Feb 2019 - 22:25

198

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Evaluating $\int_{0}^{1-x} \frac{1}{1-x_{n}} \cdots \int_{0}^{1-x_3} \frac{1}{1-x_2} \int_{0}^{1-x_2} \frac{1}{1-x_1} dx_1 dx_2 \cdots dx_n$

Published on 25 Mar 2026 - 1:18

List Question

Representation for harmonic series $H_n$, for $n<-1$

Sums of Reciprocals of Polynomials and Harmonic Numbers

What is the asymptotic form for the sum of the reciprocals of the first $n$ primes?

Sum with harmonic number of squared argument as e.g. $\sum_{k=1}^\infty \frac{H(k^2)}{k^2}$

How many terms are required for harmonic series of degrees to "cover" a full $360^\text{o}$ circle?

Closed form expression for the harmonic sum $\sum\limits_{n=1}^{\infty}\frac{H_{2n}}{n^2\cdot4^n}{2n \choose n}$

New formula for complex harmonic progression

determining if sequence has upper bound

Is there a formula for a summation divided by a product of its terms?

Two Euler sums each containing the reciprocal of the central binomial coefficient

Harmonic numbers

Harmonic series (double)

Estimate for multiple harmonic sum

Do these polynomials with harmonic number-related coefficients lie in some particular known class?

Evaluating $\int_{0}^{1-x} \frac{1}{1-x_{n}} \cdots \int_{0}^{1-x_3} \frac{1}{1-x_2} \int_{0}^{1-x_2} \frac{1}{1-x_1} dx_1 dx_2 \cdots dx_n$

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