List questions from harmonic-numbers

Published on 23 Feb 2026 - 4:48

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Convergence of a series implying harmonic numbers

Published on 03 May 2017 - 13:10

200

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Is there a straight forward way to prove that $\frac{1}{2} + \frac{1}{3} + \dots + \frac{1}{31} > 3$

Published on 04 May 2017 - 2:17

285

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Riemann zeta function related to the complete exponential bell polynomial in terms of the generalized harmonic number.

Published on 05 May 2017 - 1:30

474

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Series expansion of harmonic numbers derivation.

Published on 10 May 2017 - 14:34

496

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Prove that $\lim\limits_{k\to\infty}\left(\frac1k\sum\limits_{n=1}^k\left\lfloor\frac kn\right\rfloor-\ln k\right)=2\gamma-1$

Published on 26 Mar 2026 - 13:52

45

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Asymptotics of $(n+1)^{-(1+a)} H_n^{(-a)}$

Published on 12 May 2017 - 7:29

59.4k

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Does the infinite series $1/(n+1)$ diverge?

Published on 17 May 2017 - 14:49

957

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Double Integral form of the nth Harmonic Number

Published on 20 May 2017 - 9:00

163

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Can we determine approximate value of $\sum\limits_{n=0}^{k}\frac{1}{an+b}$?

Published on 26 Mar 2026 - 13:51

282

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Is $\zeta(6,2)$ the lowest multiple zeta function that cannot be expressed in terms of single zeta values?

Published on 24 May 2017 - 17:50

253

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Can we prove the divergence of harmonic series like this?

Published on 25 May 2017 - 18:01

115

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Sum of terms of the series

Published on 28 May 2017 - 19:19

206

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Is there a way to find out a closed form of the sum $\sum_{n=1}^\infty \frac{1}{n^6}\sum_{k=1}^n \frac{H_k}{k}$?

Published on 25 Mar 2026 - 7:46

154

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Value of $n$ required for harmonic series to cross a certain value.

Published on 02 Jun 2017 - 17:35

List Question

Sum Identity without Parseval's Theorem

Convergence of a series implying harmonic numbers

Is there a straight forward way to prove that $\frac{1}{2} + \frac{1}{3} + \dots + \frac{1}{31} > 3$

Riemann zeta function related to the complete exponential bell polynomial in terms of the generalized harmonic number.

Series expansion of harmonic numbers derivation.

Prove that $\lim\limits_{k\to\infty}\left(\frac1k\sum\limits_{n=1}^k\left\lfloor\frac kn\right\rfloor-\ln k\right)=2\gamma-1$

Asymptotics of $(n+1)^{-(1+a)} H_n^{(-a)}$

Does the infinite series $1/(n+1)$ diverge?

Double Integral form of the nth Harmonic Number

Can we determine approximate value of $\sum\limits_{n=0}^{k}\frac{1}{an+b}$?

Is $\zeta(6,2)$ the lowest multiple zeta function that cannot be expressed in terms of single zeta values?

Can we prove the divergence of harmonic series like this?

Sum of terms of the series

Is there a way to find out a closed form of the sum $\sum_{n=1}^\infty \frac{1}{n^6}\sum_{k=1}^n \frac{H_k}{k}$?

Value of $n$ required for harmonic series to cross a certain value.

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