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math.NT2020
Probabilistic renormalization and analytic continuation
Gunduz Caginalp, Bogdan Ion
We introduce a theory of probabilistic renormalization for series, the renormalized values being encoded in the expectation of a certain random variable on the set of natural numbe…
math.NT2018
A renormalization approach to the Riemann zeta function at -1, 1+2+3+... ~ -1/12
Gunduz Caginalp
A scaling and renormalization approach to the Riemann zeta function, , evaluated at is presented in two ways. In the first, one takes the difference between $U_{n}:=\sum_{q…