List questions from polylogarithm

Published on 14 Apr 2026 - 17:24

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Closed Form for the Imaginary Part of $\text{Li}_3\Big(\frac{1+i}2\Big)$

Published on 15 Apr 2026 - 11:28

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Closed form for ${\large\int}_0^1\frac{\ln(1-x)\,\ln(1+x)\,\ln(1+2x)}{1+2x}dx$

Published on 16 Apr 2026 - 0:43

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Closed form for ${\large\int}_0^1\frac{\ln^3x}{\sqrt{x^2-x+1}}dx$

Published on 16 Apr 2026 - 13:18

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Known exact values of the $\operatorname{Li}_3$ function

Published on 14 Apr 2026 - 4:52

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Closed form for $\int z^n\ln{(z)}\ln{(1-z)}\,\mathrm{d}z$?

Published on 16 Apr 2026 - 12:22

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Simplification of an expression containing $\operatorname{Li}_3(x)$ terms

Published on 15 Apr 2026 - 8:22

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On a property of polylogarithm

Published on 15 Apr 2026 - 6:10

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Closed-form of $\int_0^1 \frac{\operatorname{Li}_2\left( x \right)}{\sqrt{1-x^2}} \,dx $

Published on 15 Apr 2026 - 21:16

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Compute polylog of order $3$ at $\frac{1}{2}$

Published on 15 Apr 2026 - 7:43

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Relations connecting values of the polylogarithm $\operatorname{Li}_n$ at rational points

Published on 15 Apr 2026 - 3:44

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Is it true that $\left\lfloor\sum_{s=1}^n\operatorname{Li}_s\left(\frac 1k \right)\right\rfloor\stackrel{?}{=}\left\lfloor\frac nk \right\rfloor$

Published on 14 Apr 2026 - 15:27

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Evaluating $\int^1_0 \frac{\operatorname{Li}_2(-x)}{x} \log(1+x)\, \mathrm dx$

Published on 17 Apr 2026 - 9:51

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Log integrals I

Published on 14 Apr 2026 - 21:10

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Extract real and imaginary parts of $\operatorname{Li}_2\left(i\left(2\pm\sqrt3\right)\right)$

Published on 15 Apr 2026 - 0:03

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Sum $\sum^\infty_{n=1}\frac{(-1)^nH_n}{(2n+1)^2}$

Closed Form for the Imaginary Part of $\text{Li}_3\Big(\frac{1+i}2\Big)$

Closed form for ${\large\int}_0^1\frac{\ln(1-x)\,\ln(1+x)\,\ln(1+2x)}{1+2x}dx$

Closed form for ${\large\int}_0^1\frac{\ln^3x}{\sqrt{x^2-x+1}}dx$

Known exact values of the $\operatorname{Li}_3$ function

Closed form for $\int z^n\ln{(z)}\ln{(1-z)}\,\mathrm{d}z$?

Simplification of an expression containing $\operatorname{Li}_3(x)$ terms

On a property of polylogarithm

Closed-form of $\int_0^1 \frac{\operatorname{Li}_2\left( x \right)}{\sqrt{1-x^2}} \,dx $

Compute polylog of order $3$ at $\frac{1}{2}$

Relations connecting values of the polylogarithm $\operatorname{Li}_n$ at rational points

Is it true that $\left\lfloor\sum_{s=1}^n\operatorname{Li}_s\left(\frac 1k \right)\right\rfloor\stackrel{?}{=}\left\lfloor\frac nk \right\rfloor$

Evaluating $\int^1_0 \frac{\operatorname{Li}_2(-x)}{x} \log(1+x)\, \mathrm dx$

Log integrals I

Extract real and imaginary parts of $\operatorname{Li}_2\left(i\left(2\pm\sqrt3\right)\right)$

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