P-adic numbers and the Ramanujan summation

[Spathi]

In mathematics, there is the Ramanujan summation which is used in quantum physics (the Casimir effect):

1+2+3+4+5...=-1/12

https://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_⋯

I have a question: can this summation be obtained with p-adic numbers?

I have seen a video about them: