On logarithmic integrals, harmonic sums and variations

Understand

Based on various non-MZV approaches we evaluate certain logarithmic integrals and harmonic sums.

• More specifically, 85 LIs, 89 ESs, 263 PLIs, 28 non-alt QESs, 39 GESs, 26 BESs,14 IBESs with weight no more than 5, 193 QLIs, 172 QPLIs, 83 QESs, 7 QBESs, 3 IQBESs with weight no more than 4.
• With help of MZV theory we evaluate other 10 QESs with weight no more than 4.
• High weight hypergeometric series, nonhomogeneous integrals and other results are also established.