New posts in euler-mascheroni-constant

How is de = 1 (mod ϕ(n)) calculated

algorithms cryptography euler-mascheroni-constant

Integrating:$\int\limits_0 ^ {\infty}e^{-x^2}\ln(x)dx $

integration definite-integrals gaussian-integral euler-mascheroni-constant

Why does $\gamma=\lim_{s\to1^+}\sum_{n=1}^{\infty}\left(\frac{1}{n^s}-\frac{1}{s^n}\right)=\lim_{s\to0}\frac{\zeta(1+s)+\zeta(1-s)}{2}$?

zeta-functions euler-mascheroni-constant

Unusual integral

definite-integrals improper-integrals euler-mascheroni-constant

"How I wish I could calculate pi" analogs...

soft-question pi euler-mascheroni-constant mnemonic constants

Possible new definition of Gamma (Euler-Mascheroni Constant): $\lim_{x \to 0} (-\ln ( \sqrt[x]{x!} )) = \gamma$

calculus analysis number-theory harmonic-numbers euler-mascheroni-constant

How can I continue my proof that the difference of cosine integrals is the Euler Mascheroni constant?

calculus power-series trigonometric-integrals euler-mascheroni-constant

Showing $\gamma < \sqrt{1/3}$ without a computer

sequences-and-series inequality euler-mascheroni-constant

Prove that $\int _{-\infty }^{+\infty }{\frac {\mathrm {d} z}{(\phi ^{n}z)^{2}+(F_{2n+1}-\phi F_{2n})(e^{\gamma }z^{2}+\zeta (3)z-\pi )^2}}=1$

improper-integrals pi golden-ratio euler-mascheroni-constant

Infinite Series $\sum\limits_{n=1}^{\infty}\frac{(-1)^n}{n}\left\lfloor\frac{\log(n)}{\log(2)}\right\rfloor$

real-analysis sequences-and-series summation closed-form euler-mascheroni-constant

Why does $\int_0^\infty\frac{\ln (1+x)}{\ln^2(x)+\pi^2}\frac{dx}{x^2}$ give the Euler-Mascheroni constant?

calculus integration sequences-and-series definite-integrals euler-mascheroni-constant

Mathematica gives: $\int_{0}^{\infty}{\cos(x^n)-\cos(x^{2n})\over x}\cdot{\ln{x}}\mathrm dx={12\gamma^2-\pi^2\over 2(4n)^2}$

calculus integration definite-integrals improper-integrals euler-mascheroni-constant

Closed form of Euler-type sum over zeta functions $\sum _{k=2}^{\infty } \frac{\zeta (k)}{k^2}$?

summation riemann-zeta harmonic-numbers euler-mascheroni-constant

An integral representation of Euler's constant $\gamma$

definite-integrals euler-mascheroni-constant

Has Euler's Constant $\gamma$ been proven to be irrational?

proof-writing irrational-numbers euler-mascheroni-constant

Is this Euler-Mascheroni constant calculation from double integrals a true identity?

calculus number-theory multivariable-calculus integration euler-mascheroni-constant

How can we show that $\sum_{n=1}^{\infty}\left({x\over n}-\ln{n+x\over n}\right)=x\gamma+\ln(x!)?$

sequences-and-series euler-mascheroni-constant

Evaluation of $\int_{0}^{1}\int_{0}^{1}\{\frac{1}{\,x}\}\{\frac{1}{x\,y}\}dx\,dy\,$

definite-integrals euler-mascheroni-constant fractional-part

Equality with Euler–Mascheroni constant

calculus power-series euler-mascheroni-constant

Derivative of Riemann zeta, is this inequality true?

number-theory riemann-zeta dirichlet-series euler-mascheroni-constant