List questions from stieltjes-constants | MathQa

Series for Stieltjes constants from $\gamma= \sum_{n=1}^\infty \left(\frac{2}{n}-\sum_{j=n(n-1)+1}^{n(n+1)} \frac{1}{j}\right)$

Published on 12 Jan 2025 - 23:38

Showing $\zeta(s)-{1\over s-1}$ is analytic

Published on 07 Jan 2025 - 12:56

Is $\zeta(x)>\frac{1}{x-1}$ when $1<x<2$?

Published on 08 Jan 2025 - 5:03

A closed form of the family of series $\sum _{k=1}^{\infty } \frac{\left(H_k\right){}^m-(\log (k)+\gamma )^m}{k}$ for $m\ge 1$

Published on 05 Jan 2025 - 18:24

The asymptotic expansion for the weighted sum of divisors $\sum_{n\leq x} \frac{d(n)}{n}$

Published on 05 Jan 2025 - 17:59

Proving that $\int_{0}^{1}\left(\zeta(t)+\frac{1}{1-t}\right)dt=\sum_{n=0}^{\infty}\frac{\gamma_{n}}{(n+1)!}$

Published on 06 Jan 2025 - 3:04

Regularization involving Stieltjes constants: $\displaystyle\sum_{k=1}^{\infty}\frac{\ln(k)^n}{k}\overset{\mathcal{R}}{=}\gamma_n$

Published on 06 Jan 2025 - 17:59

Calculate the infinite sum $\sum_{1}^\infty \frac{\log{n}}{2n-1}$

Published on 08 Jan 2025 - 15:19

Calculation of Integrals with reciproce Logarithm, Euler's constant $\gamma=0.577...$

Published on 07 Jan 2025 - 11:29

Decreasing Combinations of Stieltjes Coefficients

Published on 08 Jan 2025 - 4:30