List questions from harmonic-numbers

Published on 10 Apr 2026 - 8:53

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Sums of Reciprocals of Polynomials and Harmonic Numbers

Published on 10 May 2026 - 14:32

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

Published on 14 Apr 2026 - 21:12

80

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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 Apr 2026 - 6:24

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

Published on 15 Apr 2026 - 7:09

534

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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 12 Apr 2026 - 23:52

177

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New formula for complex harmonic progression

Published on 09 Apr 2026 - 18:42

979

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determining if sequence has upper bound

Published on 16 Apr 2026 - 15:27

90

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

Published on 11 Apr 2026 - 14:47

295

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

Published on 10 May 2026 - 13:49

43

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Harmonic numbers

Published on 10 Apr 2026 - 11:58

88

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Harmonic series (double)

Published on 30 Apr 2026 - 5:52

156

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Estimate for multiple harmonic sum

Published on 10 May 2026 - 15:10

125

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

Published on 15 Apr 2026 - 20:51

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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 10 May 2026 - 15:14

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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