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Oksana Gimmel

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oksana.gimmel@gmail.com

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

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123 How to find ${\large\int}_0^1\frac{\ln^3(1+x)\ln x}x\mathrm dx$ Aug 24 '14
51 Closed form for $\int_0^\infty\frac{\log\left(1+\frac{\pi^2}{4\,x}\right)}{e^{\sqrt{x}}-1}\mathrm dx$ May 19 '13
36 Is any closed-form representation known for the sum $\sum\limits_{n=1}^{\infty}\frac{\mu(n)\log n}{n^2}$? May 4 '13
34 Integral $\int_0^1\frac{1-x^2+\left(1+x^2\right)\ln x}{\left(x+x^2\right)\ln^3x}dx$ Mar 9 '14
33 Integral ${\large\int}_0^1\ln(1-x)\ln(1+x)\ln^2x\,dx$ Aug 31 '14
31 What is a closed form for ${\large\int}_0^1\frac{\ln^3(1+x)\,\ln^2x}xdx$? Oct 14 '14
31 Integral $\int_0^\infty{_1F_2}\left(\begin{array}{c}\tfrac12\\1,\tfrac32\end{array}\middle|-x\right)\frac{dx}{1+4\,x}$ Nov 22 '13
30 A definite integral $\int_0^\infty\frac{2-\cos x}{\left(1+x^4\right)\,\left(5-4\cos x\right)}dx$ Sep 28 '13
27 Integral $\int_0^1\frac{\ln x}{x^2+1}\cdot\ln\left(\frac{3\,x^2+1}{x^2+3}\right)dx$ Nov 12 '13
24 How many balls of radius 1 can be packed into a sphere of radius 10? May 3 '13
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