New posts in ramanujan-summation

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

sequences-and-series convergence-divergence ramanujan-summation

Interpretation of Ramanujan summation of infinite divergent series

summation divergent-series ramanujan-summation

The most complex formula for the golden ratio $\varphi$ that I have ever seen. How was it achieved?

exponential-function pi continued-fractions golden-ratio ramanujan-summation

If $(a,k)=(b,m)=1$, prove that $(ab,km)=(a,m)(b,k)$.

analytic-number-theory multiplicative-function ramanujan-summation

A Ramanujan-like summation: is it correct? Is it extensible?

sequences-and-series summation divergent-series ramanujan-summation

Does Ramanujan summation evaluate the series $\sum \frac{1}{n^s}$ to $\zeta(s)$ or $\zeta(s)-\frac{1}{s-1}$?

riemann-zeta divergent-series ramanujan-summation