A renormalization approach to the Riemann zeta function at — 1, 1 + 2 + 3 + …~  — 1/12.

A scaling and renormalization approach to the Riemann zetafunction, $\zeta$, evaluated at $-1$ is presented in two ways. In the first,one takes the difference between $U_{n}:=\sum_{q=1}^{n}q$ and$4U_{\left\lfloor \frac{n}{2}\right\rfloor }$ where $\left\lfloor \frac{n}%{2}\right\rfloor $ \ is the gr...

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Bibliographic Details
Main Author: Gunduz Caginalp
Format: Article
Language:English
Published: AIMS Press 2018-06-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/10.3934/Math.2018.2.316/fulltext.html