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A fractional part integral giving $\frac{F_{n-1}}{F_n}-\frac{(-1)^n}{F_n^2}\ln\left(\!\frac{F_{n+2}-F_n\gamma}{F_{n+1}-F_n\gamma}\right)$
calculus
integration
definite-integrals
euler-mascheroni-constant
fractional-part
Prove $\gamma = \int_{0}^{1}\frac{1-e^{-u}}{u}\,du - \int_{1}^{+\infty} \frac{e^{-u}}{u}\,du $
real-analysis
euler-mascheroni-constant
Intuitively, why is the Euler-Mascheroni constant near $\sqrt{1/3}$?
sequences-and-series
number-theory
approximation
euler-mascheroni-constant
What is known about the 'Double log Eulers constant', $\lim_{n \to \infty}{\sum_{k=2}^n\frac{1}{k\ln{k}}-\ln\ln{n}}$?
limits
asymptotics
analytic-number-theory
constants
euler-mascheroni-constant
Elementary derivation of certian identites related to the Riemannian Zeta function and the Euler-Mascheroni Constant
calculus
riemann-zeta
euler-mascheroni-constant
A closed form of the series $\sum_{n=1}^{\infty} \frac{H_n^2-(\gamma + \ln n)^2}{n}$
calculus
sequences-and-series
closed-form
euler-mascheroni-constant
stieltjes-constants
Limit of Zeta function
limits
special-functions
riemann-zeta
euler-mascheroni-constant
Real Analysis Methodologies to show $\gamma =2\int_0^\infty \frac{\cos(x^2)-\cos(x)}{x}\,dx$
real-analysis
integration
definite-integrals
improper-integrals
euler-mascheroni-constant
Valid proof that Euler's Constant $\gamma$ is between $0$ and $1$?
limits
solution-verification
divergent-series
euler-mascheroni-constant
Integral representation of Euler's constant
real-analysis
integration
definite-integrals
euler-mascheroni-constant
Is $\sum_{j=1}^\infty\sum_{n=1}^\infty\left(\frac{e^{-j/n}}{n^2}-\frac{e^{-n/j}}{j^2}\right)=\gamma ?$
sequences-and-series
solution-verification
euler-mascheroni-constant
double-sequence
Euler-Mascheroni constant expression, further simplification
sequences-and-series
number-theory
logarithms
euler-mascheroni-constant
What is the fastest/most efficient algorithm for estimating Euler's Constant $\gamma$?
sequences-and-series
limits
numerical-methods
estimation
euler-mascheroni-constant
Simple proof Euler–Mascheroni $\gamma$ constant
limits
logarithms
euler-mascheroni-constant
harmonic-numbers
Evaluating $\int_{0}^{1}\cdots\int_{0}^{1}\bigl\{\frac{1}{x_{1}\cdots x_{n}}\bigr\}^{2}\:\mathrm{d}x_{1}\cdots\mathrm{d}x_{n}$
calculus
integration
multivariable-calculus
definite-integrals
euler-mascheroni-constant
Showing that $\lim\limits_{n\to\infty}\sum^n_{k=1}\frac{1}{k}-\ln(n)=0.5772\ldots$ [duplicate]
real-analysis
calculus
sequences-and-series
harmonic-numbers
euler-mascheroni-constant
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