03/07/2021, 08:30 PM
Hey, Gottfried I wrote a brief response on your discussion about the indefinite sum. Getting indefinite sums of exponentially bounded functions is surprisingly elementary now, due to Ramanujan (I added some tweaks to his method largely using fractional calculus in my second year of undergrad). So getting \( \sum_{j=1}^s \log^a(j) \) is not very hard, and there exists many formulas for it.

