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2
questions
3
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Integral representation of Dilogarithm
I have a question regarding how to obtain a certain integral representation of the dilogarithm, namely:
$$\DeclareMathOperator{\li}{Li_2}\li(x) = -\int_{0}^{1}\frac{x\ln t}{1-tx}\mathrm dt\quad ,|x|&...
3
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Proving that swapping the order of this summation is justified
I'm unsure if this has been discovered already, but it's heavily related to my current research, particularly to this question of mine (this conjecture was also originally posted at the beginning of ...