Li · PolylogarithmsNo. 1
Evaluate the dilogarithm Li₂(1) = Σ (n=1→∞) 1/n².
Li
Daily Calculus — Topic Room
Polylogarithms
Liₛ(z), dilogarithm values
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Sunday, August 23, 2026
Problems
Li · PolylogarithmsNo. 2
Show that Li₍3₎(1) = ζ(3) and state its value.
Li · PolylogarithmsNo. 3
Show that Li₍2₎(1) = ζ(2) and state its value.
Li · PolylogarithmsNo. 4
Evaluate the dilogarithm Li₂(1) = Σ (n=1→∞) 1/n².
Li · PolylogarithmsNo. 5
Prove d/dz Li₂(z) = −ln(1 − z)/z.
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