Riemann's zeta function fractal because of Voronin?

nomadreid
Gold Member
Messages
1,748
Reaction score
243
Riemann's zeta function "fractal" because of Voronin?

I am not sure which rubric this belongs to, but since the zeta function is involved, I am putting it here.
I noticed a comment (but was in too much of a hurry to remember the source) that, because of the "universality" of the Riemann zeta function as expressed in the Voronin Theorem, that the zeta function was in some form "fractal". I do not understand what aspect of fractals was being invoked in that comment, since the function does not fit the classic definition of a fractal as far as I can see. Any clues? Thanks.
 
Physics news on Phys.org
Many thanks, Churnhouse!
 

Thread '##(A/\mathfrak{a})_{\mathfrak{p}/\mathfrak{a}}## and its isomorphism?'

I asked online questions about Proposition 2.1.1: The answer I got is the following: I have some questions about the answer I got. When the person answering says: ##1.## Is the map ##\mathfrak{q}\mapsto \mathfrak{q} A _\mathfrak{p}## from ##A\setminus \mathfrak{p}\to A_\mathfrak{p}##? But I don't understand what the author meant for the rest of the sentence in mathematical notation: ##2.## In the next statement where the author says: How is ##A\to...
View full post »

Thread 'Questions about non existence of GCDs vs (coimages, cokernels)'

The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
View full post »

Thread 'Trouble understanding an online solution to an exercise in Dummit & Foote'

##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...
View full post »

Similar threads

I Hausdorff dimension of Riemann zeta function assuming RH
Replies
11
Views
3K
I Oddity of a functional equation for the R zeta function
Replies
5
Views
2K
I Riemann zeta: regularization and universality
Replies
1
Views
2K
About interesting convergence of Riemann Zeta Function
Replies
10
Views
5K
I Geometry of series terms of the Riemann Zeta Function
Replies
3
Views
3K
Insights Computing the Riemann Zeta Function Using Fourier Series
Replies
5
Views
3K
Understanding the Zeta Function and Riemann Hypothesis: A Beginner's Guide
Replies
8
Views
11K
Enhance Your Calculus Skills with Recommended Books for Riemann Zeta Function
Replies
3
Views
3K
Trivial zeros of Zeta Riemann Function
Replies
1
Views
4K
Trivial zeros in the Riemann Zeta function
Replies
2
Views
5K

Hot Threads

Recent Insights

Back
Top