Ramanujan Summation and the Exponential Generating Function ${\sum }_{k=0}^{\infty }\frac{z^k}{k!}{\zeta }^{\prime }(-k)$

B. Candelpergher, H. Gopalkrishna Gadiyar, R. Padma

In the sixth chapter of his notebooks Ramanujan introduced a method of summing divergent series which assigns to the series the value of the associated Euler-MacLaurin constant tha…