List questions from ramanujan-summation | MathQA

Ramanujan summation of alternating factorials: why is it $0.596...$?

Published on 25 Mar 2026 - 9:27

A dig at Ramanujan's: $\sum_{k=1}^{\infty} (-1)^{k-1} \frac{x^{pk}}{k(k!)^p} \sim p \ln x +p \gamma,~ p>0$

Published on 25 Mar 2026 - 7:45

Why/How was Hardy impressed with Ramanujan’s work prior to seeing any proofs of their validity?

Published on 25 Mar 2026 - 11:07

How $\phi(2)$ comes into the picture?

Published on 10 Apr 2026 - 21:52

Grandi's series

Published on 24 Apr 2026 - 4:22

Count the number of ordered triples of positive integers whose product is not greater than a given number?

Published on 13 Apr 2026 - 7:35

Mellin transform of theta function $\theta$ to show $\zeta(-1)=-\frac{1}{12}$

Published on 25 Mar 2026 - 7:44

How can I determine the reason for the mismatch between the value of this infinite continued fraction and the expected result?

Published on 07 May 2026 - 16:51