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New posts in Harmonic Numbers
Is this a valid proof that the harmonic series diverges?
May 08, 2021
The closed form for $\sum_{n=1}^\infty \frac{H_{n/2}}{n^2}x^n$
May 08, 2021
Evaluating $\int\limits_0^\infty x\operatorname{sech}^3x\ln(\operatorname{sech}x)\ dx$
May 08, 2021
Inequalities to give bounds on generalised harmonic numbers?
May 08, 2021
Is the closed form for $\sum_{k=1}^\infty\frac{\overline{H}_k}{k^m}$ known in the literature?
May 08, 2021
Showing that $\frac{1}{18} + \frac{1}{19} + \cdots + \frac{1}{47} < 1$ without brute force calculation
May 08, 2021
Closed form for the skew-harmonic sum $\sum_{n = 1}^\infty \frac{H_n \overline{H}_n}{n^2}$
May 08, 2021
Evaluating $\sum_{n=1}^\infty\frac{\overline{H}_nH_{n/2}}{n^2}$
May 08, 2021
Is there an easy way to see that ${1\over5} + \frac{1}{6} + \frac{1}{7} + \frac{1}{8} + \frac{1}{9} + \frac{1}{10} + \frac{1}{11} + \frac{1}{12} > 1$?
May 08, 2021
Computing $\int_0^1\frac{\ln(1-x^2)}{x}\operatorname{Li}_2\left(\frac{1-x}{2}\right)\ dx$
May 08, 2021
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