# Ramanujan Summation

It seems that under the light of Ramanujan Summation the following is plausible:

$$1 + {2^{2n - 1}} + {3^{2n - 1}} + \cdots = - \frac{{{B_{2n}}}}{{2n}}(\Re)$$

Alas, I can't really find any concrete definition of Ramanujan Summation. Could someone provide a small explanation?

-
It seems you have modified your question ;) . At first it consisted of 4 sub-questions, right? By the way, perhaps it's a good idea to ask this question on mathoverflow. –  Max Muller May 5 '13 at 12:11
@MaxMuller Yes I did. The question was old and I have rephrased it. Why on MO? –  Pedro Tamaroff May 5 '13 at 12:14
I suspect you have a higher chance to get this question answered if you post it on MO as well. –  Max Muller May 5 '13 at 12:22
Are you going to post this question on MO as well? If not, may I post it there? If so, could you please let me know? –  Max Muller May 6 '13 at 13:13
Go ahead. ${}{}{}{}{}{}$ –  Pedro Tamaroff May 6 '13 at 15:50