Tagged: euler-sums

The third part uses complex contours to evaluate logarithmic integrals involving inverse trigonometric functions.

The second part develops further logarithmic integral evaluations through polylogarithmic identities.

The first part of a series on logarithmic integrals: harmonic-number sums, polylogarithms, and residues.

Generating functions for squared harmonic numbers provide evaluations of Euler sums and logarithmic integrals.

An alternating Euler sum leads to harmonic-number generating functions, logarithmic integrals, and polylogarithms.