Realizing that the study of Zeta function ~(s) is dependent on the Gamma function I(s) , a function that I know well for s=x ER, I decided to search for the Zeta function in the internet ie: to get an overall satisfactory idea about the Zeta function ~(s) s=(o+i.t).
Frequently Asked Questions - General remarks on the Zeta function (s)
What is the title of this document?
The title is "General remarks on the Zeta function (s) And the first 42 roots in the critical strip"
What is this document about?
This document appears to be about the Riemann Zeta function and the Riemann Hypothesis, and it discusses aspects such as analytic continuation and remarks regarding the Zeta function and related theorems.
Who is this document devoted to?
This document is devoted to Uncle Fotis, who is referred to as the author's mentor in mathematics.
Does the document include references to external resources?
Yes, the document mentions PDFs by Theodore Yoder and Lorenzo Menici for further details and complete proofs related to the Riemann Hypothesis.
Does the document give examples of roots?
Yes, this document lists roots. They include: 30.424876126, 32.935061588, 37.58617815, 40.918719012, 43.327073281, 48.005150881, and 49.773832478.
What is the purpose of the mention of "Prime Numbers Theorem"?
It refers to the Riemann Zeta function's exclusive relevance to the members of the top club of Prime Numbers Theorem. The specifics are not elaborated upon.
- Quote paper
- Prof. Dr. med. John Bredakis (Author), 2013, Understanding the Zeta function, without getting lost in the tricky paths of advanced complex analysis, Munich, GRIN Verlag, https://www.hausarbeiten.de/document/207998