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Oksana Gimmel

http://oksana-gimmel.blogspot.com/

My MathOverflow Profile

oksana.gimmel@gmail.com

My hobbies are Ikebana and collecting open mathematical problems, especially ones with elementary formulation.

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Top Questions
123 votes

How to find ${\large\int}_0^1\frac{\ln^3(1+x)\ln x}x\mathrm dx$

calculus integration definite-integrals improper-integrals harmonic-numbers asked Aug 24 '14 at 21:24
math.stackexchange.com

51 votes

Closed form for $\int_0^\infty\frac{\log\left(1+\frac{\pi^2}{4\,x}\right)}{e^{\sqrt{x}}-1}\mathrm dx$

calculus integration logarithms definite-integrals closed-form asked May 19 '13 at 21:49
math.stackexchange.com

43 votes

Does an existence of large cardinals have implications in number theory or combinatorics?

large-cardinals set-theory nt.number-theory co.combinatorics computability-theory asked May 3 '13 at 19:35
mathoverflow.net

34 votes

Integral $\int_0^1\frac{1-x^2+\left(1+x^2\right)\ln x}{\left(x+x^2\right)\ln^3x}dx$

calculus integration definite-integrals improper-integrals closed-form asked Mar 9 '14 at 23:05
math.stackexchange.com

33 votes

Integral ${\large\int}_0^1\ln(1-x)\ln(1+x)\ln^2x\,dx$

calculus definite-integrals logarithms harmonic-numbers polylogarithm asked Aug 31 '14 at 17:03
math.stackexchange.com

31 votes

What is a closed form for ${\large\int}_0^1\frac{\ln^3(1+x)\,\ln^2x}xdx$?

integration logarithms closed-form harmonic-numbers polylogarithm asked Oct 14 '14 at 4:05
math.stackexchange.com

31 votes

Integral $\int_0^\infty{_1F_2}\left(\begin{array}{c}\tfrac12\\1,\tfrac32\end{array}\middle|-x\right)\frac{dx}{1+4\,x}$

calculus integration special-functions closed-form hypergeometric-function asked Nov 22 '13 at 6:48
math.stackexchange.com

30 votes

A definite integral $\int_0^\infty\frac{2-\cos x}{\left(1+x^4\right)\,\left(5-4\cos x\right)}dx$

calculus integration trigonometry definite-integrals closed-form asked Sep 28 '13 at 23:42
math.stackexchange.com

27 votes

Integral $\int_0^1\frac{\ln x}{x^2+1}\cdot\ln\left(\frac{3\,x^2+1}{x^2+3}\right)dx$

calculus integration definite-integrals logarithms closed-form asked Nov 12 '13 at 23:35
math.stackexchange.com

19 votes

Is this combination of generalized polygamma and dilogarithm actually zero? $\Im\;\psi^{(-2)}(1+i)+\frac1{4\pi}\text{Li}_2(e^{-2\pi})-\log\sqrt{2\pi}+\frac{5\pi}{24}+\frac12$

special-functions polylogarithms gamma-function closed-form-expressions ca.analysis-and-odes asked May 19 '13 at 2:07
mathoverflow.net

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Top Answers